{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "interactive-link",
   "metadata": {},
   "source": [
    "> **This is a saved, working copy.** Sliders here are frozen at their\n",
    "> starting value — there's no marimo runtime in plain Jupyter to drive them.\n",
    "> For the live, drag-the-sliders version of this lab (answers), see\n",
    "> [Week 5 lab (answers) — interactive](https://math4120.pages.dev/wasm/week05_lab_answers.html).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ipython-import",
   "metadata": {
    "execution": {
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     "iopub.status.busy": "2026-11-13T23:25:56.346513Z",
     "iopub.status.idle": "2026-11-13T23:25:56.351003Z",
     "shell.execute_reply": "2026-11-13T23:25:56.350071Z"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import Markdown, HTML\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "Hbol",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "# Week 5 lab — Designing a car's suspension (Answers)\n",
    "\n",
    "**MATH4120 — Mathematical Modelling and Programming** Lancaster University, 2026–27\n",
    "\n",
    "---\n",
    "\n",
    "**This is the answers version.** Every placeholder is filled in.\n",
    "\n",
    "Push down on the corner of a car and let go: it bounces back up, maybe overshoots, and settles. Each corner sits on a spring, with a shock absorber (a \"damper\") to stop the bouncing. An engineer designing the suspension chooses two numbers: how stiff the spring is and how strong the damper is. Today you work out what each choice does to the ride, using the damped oscillator from this week's lectures.\n",
    "\n",
    "0. warm-up: picking numbers out of an array;\n",
    "1. meet the car, and match it to the lecture's equation;\n",
    "2. the spring: how the bounce feels, and how far the car sinks;\n",
    "3. the damper: how quickly the bounce dies;\n",
    "4. load the car up: what changes?\n",
    "5. (if you have time) driving over a wavy road."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "MJUe",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:56.352881Z",
     "iopub.status.busy": "2026-11-13T23:25:56.352710Z",
     "iopub.status.idle": "2026-11-13T23:25:56.666044Z",
     "shell.execute_reply": "2026-11-13T23:25:56.664982Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "vblA",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "The loop from Section 4 of the lecture, unchanged. Every plot below uses it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bkHC",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:56.668799Z",
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     "shell.execute_reply": "2026-11-13T23:25:56.671974Z"
    }
   },
   "outputs": [],
   "source": [
    "def follow_two_arrows(acc, y_start, v_start, t_stop, n_steps=10000):\n",
    "    \"\"\"Step position y and velocity v forward together; acc(t, y, v) gives y''.\"\"\"\n",
    "    h = t_stop / n_steps\n",
    "    t_values = [0.0]\n",
    "    y_values = [y_start]\n",
    "    v_values = [v_start]\n",
    "    for step in range(n_steps):\n",
    "        t_now = t_values[-1]\n",
    "        y_now = y_values[-1]\n",
    "        v_now = v_values[-1]\n",
    "        a_now = acc(t_now, y_now, v_now)    # line 1: acceleration from the ODE\n",
    "        v_next = v_now + h * a_now          # line 2: new velocity\n",
    "        y_next = y_now + h * v_next         # line 3: new position, using the new velocity\n",
    "        t_values.append(t_now + h)\n",
    "        v_values.append(v_next)\n",
    "        y_values.append(y_next)\n",
    "    return np.array(t_values), np.array(y_values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "lEQa",
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2026-11-13T23:25:56.681192Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [],
   "source": [
    "def draw_car(ax, y_body, road_x=None, road_u=None, road_dip=0.0):\n",
    "    \"\"\"Draw one corner of the car. Lengths in cm; up-and-down movements drawn 4 times bigger.\"\"\"\n",
    "    scale = 400    # metres to picture cm, times 4\n",
    "    road_y = -scale * road_dip\n",
    "    if road_x is None:\n",
    "        ax.plot([-90, 90], [road_y, road_y], color=\"#555\", linewidth=3)\n",
    "    else:\n",
    "        ax.plot(road_x, -scale * road_u, color=\"#555\", linewidth=3)\n",
    "    axle = road_y + 30\n",
    "    bottom = 95 - scale * y_body    # underside of the body\n",
    "    # wheel\n",
    "    ax.add_patch(plt.Circle((0, axle), 30, facecolor=\"#333\", edgecolor=\"black\", zorder=3))\n",
    "    ax.add_patch(plt.Circle((0, axle), 11, facecolor=\"#aaa\", zorder=4))\n",
    "    ax.plot([-32, 32], [axle, axle], color=\"#333\", linewidth=4, zorder=5)\n",
    "    # spring on the left\n",
    "    zig_y = np.linspace(axle, bottom, 18)\n",
    "    zig_x = np.full_like(zig_y, -32.0)\n",
    "    zig_x[1:-1] = -32 + 9 * np.array([1, -1] * 8)\n",
    "    ax.plot(zig_x, zig_y, color=\"#1a5276\", linewidth=2.2, zorder=6)\n",
    "    # damper on the right: a cylinder hanging from the body, a rod coming up from the axle\n",
    "    ax.add_patch(plt.Rectangle((24, bottom - 28), 16, 28, facecolor=\"#d5d8dc\",\n",
    "                               edgecolor=\"#555\", zorder=6))\n",
    "    ax.plot([32, 32], [axle, bottom - 18], color=\"#555\", linewidth=3, zorder=5)\n",
    "    # body\n",
    "    ax.add_patch(plt.Rectangle((-75, bottom), 150, 40, facecolor=\"#922b21\",\n",
    "                               edgecolor=\"black\", zorder=7))\n",
    "    ax.plot([-90, 90], [95, 95], color=\"grey\", linestyle=\"--\", linewidth=1, zorder=1)\n",
    "    ax.text(-112, 98, \"rest\", color=\"grey\", fontsize=9, ha=\"left\")\n",
    "    ax.text(-45, -42, \"spring\", color=\"#1a5276\", fontsize=9, ha=\"center\")\n",
    "    ax.text(45, -42, \"damper\", color=\"#555\", fontsize=9, ha=\"center\")\n",
    "    ax.set_xlim(-115, 95)\n",
    "    ax.set_ylim(-50, 165)\n",
    "    ax.set_aspect(\"equal\")\n",
    "    ax.axis(\"off\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "PKri",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## Exercise 0 — warm-up: positions in an array\n",
    "\n",
    "A sensor on the car body records how far the body is below its resting height (in cm; negative means above) at the top and bottom of each bounce:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "Xref",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:56.683856Z",
     "iopub.status.busy": "2026-11-13T23:25:56.683684Z",
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     "shell.execute_reply": "2026-11-13T23:25:56.685653Z"
    }
   },
   "outputs": [],
   "source": [
    "bounce = np.array([5.0, -2.22, 0.99, -0.44, 0.19, -0.09])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "SFPL",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "Remember from the lecture: positions count from 0, `bounce[-1]` is the last value, and `bounce[start:stop]` stops *before* `stop`.\n",
    "\n",
    "**Task.** Replace each placeholder using `bounce[...]`. Don't type the numbers in yourself.\n",
    "\n",
    "- `first_reading`: the first value.\n",
    "- `last_reading`: the last value.\n",
    "- `middle_four`: the four values in the middle (everything except the first and the last)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "BYtC",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:56.688024Z",
     "iopub.status.busy": "2026-11-13T23:25:56.687881Z",
     "iopub.status.idle": "2026-11-13T23:25:56.691588Z",
     "shell.execute_reply": "2026-11-13T23:25:56.690852Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5.0 -0.09 [-2.22  0.99 -0.44  0.19]\n"
     ]
    }
   ],
   "source": [
    "first_reading = bounce[0]\n",
    "last_reading = bounce[-1]\n",
    "middle_four = bounce[1:5]\n",
    "print(first_reading, last_reading, middle_four)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "RGSE",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:56.693241Z",
     "iopub.status.busy": "2026-11-13T23:25:56.693074Z",
     "iopub.status.idle": "2026-11-13T23:25:56.699512Z",
     "shell.execute_reply": "2026-11-13T23:25:56.698707Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "- first reading: ✓\n",
       "- last reading: ✓\n",
       "- middle four: ✓"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "_ok_first = first_reading == bounce[0]\n",
    "_ok_last = last_reading == bounce[-1]\n",
    "_ok_mid = len(middle_four) == 4 and np.all(middle_four == bounce[1:5])\n",
    "Markdown(\n",
    "    f\"- first reading: {'✓' if _ok_first else 'not yet'}\\n\"\n",
    "    f\"- last reading: {'✓' if _ok_last else 'not yet'}\\n\"\n",
    "    f\"- middle four: {'✓' if _ok_mid else 'not yet'}\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "Kclp",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## Exercise 1 — meet the car\n",
    "\n",
    "Model one corner of the car as a mass $m$ on a spring of stiffness $s$, with a damper of strength $c$. Let $y(t)$ be how far the body is below its resting height (so pushing down makes $y$ positive). Newton's second law gives $$m\\,y'' + c\\,y' + s\\,y = 0.$$ The spring pushes back in proportion to $y$, and the damper pushes back in proportion to the speed $y'$. There is no $mg$ term because $y$ is measured from the resting height, where the spring is already squashed just enough to hold up the car's weight: gravity and that part of the spring's push cancel. Exercise 2 comes back to this.\n",
    "\n",
    "The numbers for our car: a quarter of a family car's mass, and a spring and damper of the usual size. We push the corner down 5 cm and let go: $y(0) = 0.05$ m, $y'(0) = 0$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "emfo",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:56.701407Z",
     "iopub.status.busy": "2026-11-13T23:25:56.701270Z",
     "iopub.status.idle": "2026-11-13T23:25:56.703844Z",
     "shell.execute_reply": "2026-11-13T23:25:56.703163Z"
    }
   },
   "outputs": [],
   "source": [
    "m_car = 400.0      # mass on one corner (kg)\n",
    "s_car = 25600.0    # spring stiffness (N/m): newtons to squash it by 1 m\n",
    "c_car = 1600.0     # damper strength (N s/m): newtons to push it at 1 m/s\n",
    "y0_car = 0.05      # pushed down 5 cm (m)\n",
    "g_acc = 9.81       # gravity (m/s²)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "Hstk",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:56.705343Z",
     "iopub.status.busy": "2026-11-13T23:25:56.705183Z",
     "iopub.status.idle": "2026-11-13T23:25:56.712080Z",
     "shell.execute_reply": "2026-11-13T23:25:56.711470Z"
    }
   },
   "outputs": [],
   "source": [
    "def acc_car(t, y, v):\n",
    "    return -(c_car * v + s_car * y) / m_car    # m y'' + c y' + s y = 0, solved for y''\n",
    "\n",
    "t_push, y_push = follow_two_arrows(acc_car, y0_car, 0.0, 3.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "nWHF",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "Drag the time slider to push the car down and let go."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "iLit",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:56.713794Z",
     "iopub.status.busy": "2026-11-13T23:25:56.713654Z",
     "iopub.status.idle": "2026-11-13T23:25:56.716054Z",
     "shell.execute_reply": "2026-11-13T23:25:56.715412Z"
    }
   },
   "outputs": [],
   "source": [
    "t_push_slider = type('_W', (), {'value': 0.0})()  # static default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "ZHCJ",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:56.717673Z",
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     "shell.execute_reply": "2026-11-13T23:25:57.017252Z"
    },
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     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_t_now = t_push_slider.value\n",
    "_y_now = np.interp(_t_now, t_push, y_push)\n",
    "_fig0, (_axc0, _axg0) = plt.subplots(1, 2, figsize=(11, 4),\n",
    "                                     gridspec_kw={\"width_ratios\": [1, 1.6]})\n",
    "draw_car(_axc0, _y_now)\n",
    "_axc0.set_title(\"one corner of the car\\n(movement drawn 4× bigger)\", fontsize=11)\n",
    "_past0 = t_push <= _t_now\n",
    "_axg0.plot(t_push, 100 * y_push, color=\"lightgrey\", linewidth=1.5)\n",
    "_axg0.plot(t_push[_past0], 100 * y_push[_past0], color=\"#922b21\", linewidth=2.5)\n",
    "_axg0.plot(_t_now, 100 * _y_now, \"o\", color=\"#922b21\", markersize=9)\n",
    "_axg0.axhline(0, color=\"grey\", linewidth=0.8)\n",
    "_axg0.set_xlim(0, 3)\n",
    "_axg0.set_ylim(-5.5, 5.5)\n",
    "_axg0.set_xlabel(r\"$t$ (s)\", fontsize=12)\n",
    "_axg0.set_ylabel(r\"$y$ (cm below rest)\", fontsize=12)\n",
    "_axg0.set_title(rf\"$t = {_t_now:.2f}$ s,   $y = {100 * _y_now:.2f}$ cm\", fontsize=12)\n",
    "_axg0.grid(True, alpha=0.3)\n",
    "_fig0.tight_layout()\n",
    "_fig0;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ROlb",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "### Match it to the lecture's equation\n",
    "\n",
    "Divide the car's equation by $m$ and compare it with the damped oscillator (4.17), $y'' + 2k\\,y' + \\omega^2 y = 0$.\n",
    "\n",
    "**Task.** On paper, write $k$ and $\\omega$ in terms of $m$, $c$ and $s$. Then replace the two placeholders, using `m_car`, `c_car`, `s_car` and `np.sqrt(...)`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "qnkX",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.020049Z",
     "iopub.status.busy": "2026-11-13T23:25:57.019904Z",
     "iopub.status.idle": "2026-11-13T23:25:57.024160Z",
     "shell.execute_reply": "2026-11-13T23:25:57.023383Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "k = 2.0   omega = 8.0\n",
      "roots: [-2.+7.74596669j -2.-7.74596669j]\n"
     ]
    }
   ],
   "source": [
    "k_car = c_car / (2 * m_car)\n",
    "omega_car = np.sqrt(s_car / m_car)\n",
    "print(\"k =\", k_car, \"  omega =\", omega_car)\n",
    "print(\"roots:\", np.roots([1, 2 * k_car, omega_car**2]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "TqIu",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "<details><summary><b>Check (open once you have numbers)</b></summary>\n",
    "\n",
    "\n",
    "$2k = c/m$ and $\\omega^2 = s/m$, so $k = c/(2m) = 2$ and $\\omega = \\sqrt{s/m} = 8$. The roots are $-2 \\pm 7.746i$: complex, so the car is **underdamped**, which is why it bounced on the plot.\n",
    "\n",
    "</details>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "Vxnm",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## Exercise 2 — the spring: how the bounce feels\n",
    "\n",
    "The bounce repeats about $\\omega/(2\\pi)$ times per second (exactly that often if there were no damper). Engineers call this the **ride frequency**, $f = \\omega/(2\\pi)$, measured in hertz (Hz, \"per second\"). It is the first number a suspension designer picks [1]:\n",
    "\n",
    "- passenger cars: about 0.5–1.5 Hz, for comfort;\n",
    "- saloon racing cars: about 1.5–2 Hz;\n",
    "- racing cars with big wings: 3–5 Hz or more.\n",
    "\n",
    "**Task (a).** Replace the placeholder with the ride frequency of our car. Use `omega_car` and `np.pi`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "DnEU",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.025656Z",
     "iopub.status.busy": "2026-11-13T23:25:57.025504Z",
     "iopub.status.idle": "2026-11-13T23:25:57.028323Z",
     "shell.execute_reply": "2026-11-13T23:25:57.027657Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ride frequency: 1.2732395447351628 Hz\n"
     ]
    }
   ],
   "source": [
    "f_car = omega_car / (2 * np.pi)\n",
    "print(\"ride frequency:\", f_car, \"Hz\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ulZA",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "<details><summary><b>Check</b></summary>\n",
    "\n",
    "\n",
    "$f = 8/(2\\pi) \\approx 1.27$ Hz: inside the passenger-car range.\n",
    "\n",
    "</details>\n",
    "\n",
    "### How far the car sinks\n",
    "\n",
    "Put the car on its wheels and gravity squashes each spring until the spring's push $s\\,\\delta$ balances the weight $m g$. So the car sinks by $$\\delta = \\frac{m g}{s},$$ called the **sag**. The sag also tells you how far the body moves in everyday driving: the spring is linear, so an extra push equal to the car's weight (a hard bump, say) squashes it by another $\\delta$.\n",
    "\n",
    "**Task (b).** Replace the placeholder with $\\delta$ for our car, in metres. Use `m_car`, `g_acc` and `s_car`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "ecfG",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.030027Z",
     "iopub.status.busy": "2026-11-13T23:25:57.029901Z",
     "iopub.status.idle": "2026-11-13T23:25:57.032867Z",
     "shell.execute_reply": "2026-11-13T23:25:57.032095Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the car sinks by 0.15328125 m\n"
     ]
    }
   ],
   "source": [
    "sag_car = m_car * g_acc / s_car\n",
    "print(\"the car sinks by\", sag_car, \"m\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "Pvdt",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.034251Z",
     "iopub.status.busy": "2026-11-13T23:25:57.034095Z",
     "iopub.status.idle": "2026-11-13T23:25:57.037899Z",
     "shell.execute_reply": "2026-11-13T23:25:57.037066Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "From the sag alone, $\\sqrt{g/\\delta}/(2\\pi)$ = **1.2732 Hz**. Your ride frequency from (a): **1.2732 Hz**."
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "if sag_car > 0:\n",
    "    _f_from_sag = np.sqrt(g_acc / sag_car) / (2 * np.pi)\n",
    "    _msg = f\"From the sag alone, $\\\\sqrt{{g/\\\\delta}}/(2\\\\pi)$ = **{_f_from_sag:.4f} Hz**. Your ride frequency from (a): **{f_car:.4f} Hz**.\"\n",
    "else:\n",
    "    _msg = \"Fill in `sag_car` to see a comparison.\"\n",
    "Markdown(_msg)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ZBYS",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "**Question.** The two numbers above agree. Why? Start from $\\omega^2 = s/m$ and $\\delta = mg/s$.\n",
    "\n",
    "<details><summary><b>Answer</b></summary>\n",
    "\n",
    "\n",
    "From $\\delta = mg/s$ we get $s/m = g/\\delta$, so $\\omega^2 = g/\\delta$ and $$f = \\frac{1}{2\\pi}\\sqrt{\\frac{g}{\\delta}}.$$ The mass and the spring only matter through how far the car sinks: **the ride frequency is fixed by the sag.**\n",
    "\n",
    "</details>\n",
    "\n",
    "The damper plays no part here: $f$ and $\\delta$ depend only on $m$ and $s$.\n",
    "\n",
    "The slider changes the spring stiffness. The left picture shows, at real size, how far the car sinks under its own weight; the right shows the ride frequency against the sag, with the design ranges shaded."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "aLJB",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.039315Z",
     "iopub.status.busy": "2026-11-13T23:25:57.039178Z",
     "iopub.status.idle": "2026-11-13T23:25:57.041973Z",
     "shell.execute_reply": "2026-11-13T23:25:57.041150Z"
    }
   },
   "outputs": [],
   "source": [
    "s_slider = type('_W', (), {'value': 25600})()  # static default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "nHfw",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.043388Z",
     "iopub.status.busy": "2026-11-13T23:25:57.043254Z",
     "iopub.status.idle": "2026-11-13T23:25:57.264330Z",
     "shell.execute_reply": "2026-11-13T23:25:57.263202Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_s = s_slider.value\n",
    "_sag = m_car * g_acc / _s\n",
    "_f = np.sqrt(_s / m_car) / (2 * np.pi)\n",
    "\n",
    "_fig2, (_axs, _axf) = plt.subplots(1, 2, figsize=(11, 4),\n",
    "                                   gridspec_kw={\"width_ratios\": [1, 2]})\n",
    "# left: the car sitting on its spring, real size (in metres)\n",
    "_axs.add_patch(plt.Rectangle((-0.8, 1.0 - _sag), 1.6, 0.25, facecolor=\"#922b21\",\n",
    "                             edgecolor=\"black\"))\n",
    "_axs.add_patch(plt.Rectangle((-0.8, 1.0), 1.6, 0.25, facecolor=\"none\", edgecolor=\"grey\",\n",
    "                             linestyle=\"--\", linewidth=1.2, zorder=5))\n",
    "_axs.text(0, 1.3, \"dashed: where it would sit\\nwith no weight on the spring\", color=\"grey\",\n",
    "          fontsize=9, ha=\"center\", va=\"bottom\")\n",
    "_axs.annotate(\"\", xy=(-0.95, 1.0 - _sag), xytext=(-0.95, 1.0),\n",
    "              arrowprops={\"arrowstyle\": \"<->\", \"color\": \"black\"})\n",
    "_axs.text(-1.0, 1.0 - _sag / 2, f\"{100 * _sag:.0f} cm\", ha=\"right\", va=\"center\", fontsize=11)\n",
    "_axs.set_xlim(-1.6, 1.3)\n",
    "_axs.set_ylim(-0.3, 1.6)\n",
    "_axs.set_aspect(\"equal\")\n",
    "_axs.axis(\"off\")\n",
    "_axs.set_title(\"how far the car sinks\\n(real size)\", fontsize=11)\n",
    "\n",
    "# right: f against the sag, f = sqrt(g / sag) / (2 pi)\n",
    "_sags = np.linspace(0.01, 1.0, 400)\n",
    "_axf.axhspan(0.5, 1.5, color=\"#1e8449\", alpha=0.12, label=\"passenger cars\")\n",
    "_axf.axhspan(1.5, 2.0, color=\"#b9770e\", alpha=0.15, label=\"saloon racing cars\")\n",
    "_axf.plot(100 * _sags, np.sqrt(g_acc / _sags) / (2 * np.pi), color=\"#1a5276\", linewidth=2)\n",
    "_axf.plot(100 * _sag, _f, \"o\", color=\"#922b21\", markersize=11, zorder=5)\n",
    "_axf.set_xlim(0, 100)\n",
    "_axf.set_ylim(0, 4)\n",
    "_axf.set_xlabel(r\"sag $\\delta$ (cm)\", fontsize=12)\n",
    "_axf.set_ylabel(r\"ride frequency $f$ (Hz)\", fontsize=12)\n",
    "_axf.set_title(rf\"$s = {_s}$ N/m:   sag {100 * _sag:.1f} cm,   $f = {_f:.2f}$ Hz\",\n",
    "               fontsize=12)\n",
    "_axf.legend(fontsize=10, loc=\"upper right\")\n",
    "_axf.grid(True, alpha=0.3)\n",
    "_fig2.tight_layout()\n",
    "_fig2;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "xXTn",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "**Questions.**\n",
    "\n",
    "1. A designer wants a soft ride at $f = 1$ Hz. About how far must the car sink? And for a saloon racing car at 2 Hz?\n",
    "2. Why can't a comfortable car simply have a very soft spring, say $f = 0.3$ Hz?\n",
    "3. Racing cars sit very low to the ground. What does that force on their ride frequency?\n",
    "\n",
    "<details><summary><b>Answers</b></summary>\n",
    "\n",
    "\n",
    "1. About 25 cm for 1 Hz, about 6 cm for 2 Hz. A soft ride needs a lot of suspension travel.\n",
    "2. At 0.3 Hz, $\\delta \\approx 2.8$ m. The spring would have to be squashed by almost 3 m just to hold the car up, which no car has room for, and a hard bump would move the body by almost another 3 m. Very slow up-and-down motion also makes people sick: motion sickness comes from vertical motion between about 0.1 and 0.5 Hz [2].\n",
    "3. A car that sits a few centimetres off the ground can't let a hard bump move the body far, so $\\delta$ must be small, and then $f = \\sqrt{g/\\delta}/(2\\pi)$ is high: a stiff, harsh ride. Racing cars accept that for grip and handling. Cars with big wings are also pushed down hard by the air at speed, which needs stiffer springs still: hence their 3–5 Hz.\n",
    "\n",
    "</details>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "AjVT",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## Exercise 3 — the damper: how quickly the bounce dies\n",
    "\n",
    "From the lecture: the car is **critically damped** when $k = \\omega$, the repeated root.\n",
    "\n",
    "**Task (a), on paper first.** Using $k = c/(2m)$ and $\\omega = \\sqrt{s/m}$, find the damper strength $c_\\text{crit}$ that makes $k = \\omega$, in terms of $m$ and $s$. Then replace the first placeholder.\n",
    "\n",
    "**Task (b).** Designers describe a damper by its **damping ratio** $\\zeta = c/c_\\text{crit}$ (\"zeta\"): 0 means no damper, 1 means critical. Replace the second placeholder with $\\zeta$ for our car."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "pHFh",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.266162Z",
     "iopub.status.busy": "2026-11-13T23:25:57.265984Z",
     "iopub.status.idle": "2026-11-13T23:25:57.270335Z",
     "shell.execute_reply": "2026-11-13T23:25:57.269327Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c for critical damping: 6400.0 N s/m\n",
      "damping ratio of our car: 0.25\n",
      "roots at critical damping: [-8. -8.]\n"
     ]
    }
   ],
   "source": [
    "c_crit = 2 * np.sqrt(m_car * s_car)\n",
    "zeta_car = c_car / c_crit\n",
    "print(\"c for critical damping:\", c_crit, \"N s/m\")\n",
    "print(\"damping ratio of our car:\", zeta_car)\n",
    "print(\"roots at critical damping:\", np.roots([1, c_crit / m_car, s_car / m_car]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "NCOB",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "<details><summary><b>Check</b></summary>\n",
    "\n",
    "\n",
    "$c/(2m) = \\sqrt{s/m}$ gives $c_\\text{crit} = 2\\sqrt{ms} = 6400$ N s/m, and both roots are (about) $-8$. Our car has $\\zeta = 1600/6400 = 0.25$.\n",
    "\n",
    "</details>\n",
    "\n",
    "Real cars [1]: passenger cars use a damping ratio of about **0.25**, chosen for comfort. Racing cars use about **0.65–0.7**, for better control of the body.\n",
    "\n",
    "The slider sets the damper strength $c$. The title of the graph shows two numbers a designer cares about: the **overshoot** (how far the body flies past rest, upwards) and the **settling time** (when it stays within 0.5 cm of rest for good: the green band).\n",
    "\n",
    "**Before you use the slider:** which damping ratio do you think gives the shortest settling time? Is it critical damping?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "aqbW",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.272010Z",
     "iopub.status.busy": "2026-11-13T23:25:57.271865Z",
     "iopub.status.idle": "2026-11-13T23:25:57.274606Z",
     "shell.execute_reply": "2026-11-13T23:25:57.273792Z"
    }
   },
   "outputs": [],
   "source": [
    "c_slider = type('_W', (), {'value': 1600})()  # static default\n",
    "t_damp_slider = type('_W', (), {'value': 3.0})()  # static default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "TRpd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.276545Z",
     "iopub.status.busy": "2026-11-13T23:25:57.276413Z",
     "iopub.status.idle": "2026-11-13T23:25:57.464850Z",
     "shell.execute_reply": "2026-11-13T23:25:57.464436Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_c = c_slider.value\n",
    "_t_now3 = t_damp_slider.value\n",
    "\n",
    "def _acc_slider(t, y, v):\n",
    "    return -(_c * v + s_car * y) / m_car\n",
    "\n",
    "_t3, _y3 = follow_two_arrows(_acc_slider, y0_car, 0.0, 6.0, n_steps=12000)\n",
    "_overshoot = max(0.0, -100 * _y3.min())\n",
    "_outside = np.where(np.abs(_y3) >= 0.005)[0]\n",
    "_settle = _t3[_outside[-1]] if len(_outside) > 0 else 0.0\n",
    "_settle_text = f\"{_settle:.2f} s\" if _settle < 5.9 else \"more than 6 s\"\n",
    "_y_now3 = np.interp(_t_now3, _t3, _y3)\n",
    "\n",
    "_fig3, (_axc3, _axg3) = plt.subplots(1, 2, figsize=(11, 4),\n",
    "                                     gridspec_kw={\"width_ratios\": [1, 1.6]})\n",
    "draw_car(_axc3, _y_now3)\n",
    "if c_crit > 0:\n",
    "    _axc3.set_title(rf\"$\\zeta = c / c_\\mathrm{{crit}} = {_c / c_crit:.2f}$\", fontsize=12)\n",
    "else:\n",
    "    _axc3.set_title(r\"(fill in c_crit to see $\\zeta$)\", fontsize=11)\n",
    "_past3 = _t3 <= _t_now3\n",
    "_axg3.axhspan(-0.5, 0.5, color=\"#1e8449\", alpha=0.15)\n",
    "_axg3.plot(_t3, 100 * _y3, color=\"lightgrey\", linewidth=1.5)\n",
    "_axg3.plot(_t3[_past3], 100 * _y3[_past3], color=\"#1a5276\", linewidth=2.5)\n",
    "_axg3.plot(_t_now3, 100 * _y_now3, \"o\", color=\"#1a5276\", markersize=9)\n",
    "_axg3.axhline(0, color=\"grey\", linewidth=0.8)\n",
    "_axg3.set_xlim(0, 3)\n",
    "_axg3.set_ylim(-5.5, 5.5)\n",
    "_axg3.set_xlabel(r\"$t$ (s)\", fontsize=12)\n",
    "_axg3.set_ylabel(r\"$y$ (cm below rest)\", fontsize=12)\n",
    "_axg3.set_title(f\"c = {_c}:   overshoot {_overshoot:.2f} cm,   settles in {_settle_text}\",\n",
    "                fontsize=12)\n",
    "_axg3.grid(True, alpha=0.3)\n",
    "_fig3.tight_layout()\n",
    "_fig3;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "TXez",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "**Questions.** Use the slider, and write down the overshoot and settling time each time.\n",
    "\n",
    "1. Our car, $c = 1600$ ($\\zeta = 0.25$).\n",
    "2. Critical damping, $c = 6400$ ($\\zeta = 1$), and twice that, $c = 12800$. Does more damping always help?\n",
    "3. Find the damping ratio that settles fastest. Compare it with what racing cars use.\n",
    "4. A worn-out damper is weaker. Try $c = 320$ ($\\zeta = 0.05$). What does the car do after a bump?\n",
    "5. If $\\zeta = 0.25$ overshoots and takes longer to settle, why would a car maker choose it?\n",
    "\n",
    "<details><summary><b>Answers (open after you have answered)</b></summary>\n",
    "\n",
    "\n",
    "1. Overshoot about 2.2 cm (the second number in the Exercise 0 data); it settles in about 0.95 s.\n",
    "2. At $\\zeta = 1$: no overshoot, settles in about 0.5 s. At $\\zeta = 2$: still no overshoot, but slower, about 1.1 s. Too much damping makes the car creep back, because one root of the auxiliary equation gets close to 0 (as in the lecture's roots picture).\n",
    "3. With our 0.5 cm band, about $\\zeta = 0.6$, settling in 0.29 s, and anything up to 0.7 settles in about 0.3 s: faster than critical, because a small overshoot that stays inside the band costs nothing. Notice the jump between $\\zeta = 0.55$ (0.56 s) and $0.6$ (0.29 s): that is where the overshoot, 0.47 cm, first fits inside the band. So the best value depends on what you call \"settled\": with a 0.1 cm band it is about $\\zeta = 0.78$. What doesn't change is that the fastest is *below* critical damping. Engineers often call a system settled once it stays within 5% of its starting push; for that band the fastest is $\\zeta \\approx 0.69$, where the overshoot is exactly 5%. Racing cars use 0.65–0.7 [1], close to the fastest settling, to keep the body under control.\n",
    "4. It keeps bouncing for several seconds.\n",
    "5. The damper's force is $c \\times$ speed. Every bump in the road moves the wheel quickly, and a strong damper passes that straight into the body: a harsh ride. A weak damper lets the wheel move over small bumps without shaking the passengers, at the price of some bounce. Exercise 5 measures this.\n",
    "\n",
    "</details>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dNNg",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## Exercise 4 — load the car up\n",
    "\n",
    "Four adults and their luggage add about 400 kg, so about 100 kg on each corner. The spring and damper stay the same.\n",
    "\n",
    "**Before you compute:** will the loaded car bounce faster or slower? Will it be more or less damped?\n",
    "\n",
    "**Task.** Replace the three placeholders for the loaded car. Use the same formulas as in Exercises 2 and 3, with `m_loaded` instead of `m_car`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "yCnT",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.467438Z",
     "iopub.status.busy": "2026-11-13T23:25:57.467259Z",
     "iopub.status.idle": "2026-11-13T23:25:57.471173Z",
     "shell.execute_reply": "2026-11-13T23:25:57.470467Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ride frequency: 1.1388200694674833 Hz\n",
      "sag: 0.1916015625 m\n",
      "damping ratio: 0.22360679774997896\n"
     ]
    }
   ],
   "source": [
    "m_loaded = 500.0    # kg on one corner, with passengers and luggage\n",
    "\n",
    "f_loaded = np.sqrt(s_car / m_loaded) / (2 * np.pi)\n",
    "sag_loaded = m_loaded * g_acc / s_car\n",
    "zeta_loaded = c_car / (2 * np.sqrt(m_loaded * s_car))\n",
    "print(\"ride frequency:\", f_loaded, \"Hz\")\n",
    "print(\"sag:\", sag_loaded, \"m\")\n",
    "print(\"damping ratio:\", zeta_loaded)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "wlCL",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.472830Z",
     "iopub.status.busy": "2026-11-13T23:25:57.472697Z",
     "iopub.status.idle": "2026-11-13T23:25:57.612546Z",
     "shell.execute_reply": "2026-11-13T23:25:57.611339Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def _acc_loaded(t, y, v):\n",
    "    return -(c_car * v + s_car * y) / m_loaded\n",
    "\n",
    "_t4, _y4 = follow_two_arrows(_acc_loaded, y0_car, 0.0, 3.0)\n",
    "_fig4, _ax4 = plt.subplots(figsize=(10, 3.6))\n",
    "_ax4.plot(t_push, 100 * y_push, color=\"#922b21\", linewidth=2, label=f\"empty, {m_car:.0f} kg\")\n",
    "_ax4.plot(_t4, 100 * _y4, color=\"#1a5276\", linewidth=2, linestyle=\"--\",\n",
    "          label=f\"loaded, {m_loaded:.0f} kg\")\n",
    "_ax4.axhline(0, color=\"grey\", linewidth=0.8)\n",
    "_ax4.set_xlim(0, 3)\n",
    "_ax4.set_ylim(-5.5, 5.5)\n",
    "_ax4.set_xlabel(r\"$t$ (s)\", fontsize=12)\n",
    "_ax4.set_ylabel(r\"$y$ (cm below rest)\", fontsize=12)\n",
    "_ax4.set_title(\"Each corner pushed down 5 cm and let go\", fontsize=12)\n",
    "_ax4.legend(fontsize=10, loc=\"upper right\")\n",
    "_ax4.grid(True, alpha=0.3)\n",
    "_fig4.tight_layout()\n",
    "_fig4;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "kqZH",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "<details><summary><b>Check and discussion</b></summary>\n",
    "\n",
    "\n",
    "$f \\approx 1.14$ Hz (down from 1.27), sag $\\approx 19$ cm (up from 15) and $\\zeta \\approx 0.22$ (down from 0.25). The loaded car bounces more slowly, sits 4 cm lower and is less damped, so it bounces for longer: compare the two curves.\n",
    "\n",
    "Both changes come straight from the formulas: $f = \\sqrt{s/m}/(2\\pi)$ and $\\zeta = c/(2\\sqrt{ms})$ both go down as $m$ goes up. In the same way, a stiffer spring with the same damper lowers $\\zeta$, because $s$ sits under the square root too: the car is relatively less damped. Sitting lower matters too: less travel is left before the suspension hits its stops. That is why some cars have self-levelling suspension, which raises the car back to its normal height when it is loaded.\n",
    "\n",
    "</details>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "wAgl",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## Exercise 5 (if you have time) — a wavy road\n",
    "\n",
    "Now drive the car along a road with gentle waves 10 m apart, rising and dipping 2 cm either side of level. We treat the tyre as rigid, so the wheel follows the road exactly, and the spring and damper push on the difference between the body's movement and the wheel's. At speed $V$ (in m/s) the wheel meets a wave every $10/V$ seconds, so the road shakes the wheel up and down $V/10$ times per second. This is a **forced** oscillator, as in Sections 4.10–4.11 of the notes: the road is the forcing.\n",
    "\n",
    "After the first few bounces die away (the complementary function, which decays because the roots have negative real part), the body settles into a steady bounce at the road's frequency: that steady bounce is the **particular integral**. Engineers compare dampers using the ratio $$\\text{transmissibility} = \\frac{\\text{size of the body's steady bounce}}{\\text{size of the road's waves}}$$ [3]. The right-hand plot shows it at every speed, for the comfort damper ($\\zeta = 0.25$, our car) and a sporty one ($\\zeta = 0.7$)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "rEll",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.614551Z",
     "iopub.status.busy": "2026-11-13T23:25:57.614403Z",
     "iopub.status.idle": "2026-11-13T23:25:57.617420Z",
     "shell.execute_reply": "2026-11-13T23:25:57.616710Z"
    }
   },
   "outputs": [],
   "source": [
    "speed_slider = type('_W', (), {'value': 30})()  # static default\n",
    "damper_choice = type('_W', (), {'value': 0.25})()  # static default\n",
    "t_road_slider = type('_W', (), {'value': 8.0})()  # static default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "dGlV",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.619032Z",
     "iopub.status.busy": "2026-11-13T23:25:57.618901Z",
     "iopub.status.idle": "2026-11-13T23:25:57.974737Z",
     "shell.execute_reply": "2026-11-13T23:25:57.973705Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x420 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_wave_length = 10.0    # m between waves\n",
    "_depth = 0.02          # m, how far the road dips at a wave\n",
    "_V = speed_slider.value / 3.6                 # km/h to m/s\n",
    "_Om = 2 * np.pi * _V / _wave_length           # angular frequency of the road (rad/s)\n",
    "_zeta5 = damper_choice.value\n",
    "_c5 = _zeta5 * 2 * np.sqrt(m_car * s_car)\n",
    "_t_now5 = t_road_slider.value\n",
    "\n",
    "def _road(t):\n",
    "    return _depth * np.cos(_Om * t)            # how far the road under the wheel dips\n",
    "\n",
    "def _road_speed(t):\n",
    "    return -_depth * _Om * np.sin(_Om * t)\n",
    "\n",
    "def _acc_road(t, y, v):\n",
    "    # spring and damper now push on the difference between body and wheel\n",
    "    return (s_car * (_road(t) - y) + _c5 * (_road_speed(t) - v)) / m_car\n",
    "\n",
    "_t5, _y5 = follow_two_arrows(_acc_road, 0.0, 0.0, 8.0, n_steps=16000)\n",
    "_y_now5 = np.interp(_t_now5, _t5, _y5)\n",
    "_steady = 100 * np.max(np.abs(_y5[_t5 > 6]))\n",
    "\n",
    "# transmissibility from the PI, for both dampers\n",
    "_omega5 = np.sqrt(s_car / m_car)\n",
    "_speeds = np.linspace(5, 135, 500)\n",
    "_r = (2 * np.pi * (_speeds / 3.6) / _wave_length) / _omega5\n",
    "\n",
    "def _trans(r, zeta):\n",
    "    return np.sqrt((1 + (2 * zeta * r)**2) / ((1 - r**2)**2 + (2 * zeta * r)**2))\n",
    "\n",
    "_fig5, (_axc5, _axg5, _axt5) = plt.subplots(\n",
    "    1, 3, figsize=(14, 4.2), gridspec_kw={\"width_ratios\": [1, 1.5, 1.5]})\n",
    "\n",
    "# left: the car on the road; the road drawn squeezed sideways (20 m across the picture)\n",
    "_xpic = np.linspace(-90, 90, 300)\n",
    "_xreal = _xpic * 20 / 180\n",
    "_u_pic = _depth * np.cos(2 * np.pi * (_xreal + _V * _t_now5) / _wave_length)\n",
    "draw_car(_axc5, _y_now5, road_x=_xpic, road_u=_u_pic, road_dip=_road(_t_now5))\n",
    "_axc5.set_title(\"road squeezed sideways,\\nmovement drawn 4× bigger\", fontsize=10)\n",
    "\n",
    "# middle: road and body against time\n",
    "_axg5.plot(_t5, 100 * _road(_t5), color=\"#555\", linewidth=1.2, label=\"road under the wheel\")\n",
    "_axg5.plot(_t5[_t5 <= _t_now5], 100 * _y5[_t5 <= _t_now5], color=\"#922b21\", linewidth=2.2,\n",
    "           label=\"car body\")\n",
    "_axg5.plot(_t_now5, 100 * _y_now5, \"o\", color=\"#922b21\", markersize=8)\n",
    "_axg5.set_xlim(0, 8)\n",
    "_axg5.set_ylim(-6, 6)\n",
    "_axg5.set_xlabel(r\"$t$ (s)\", fontsize=12)\n",
    "_axg5.set_ylabel(\"cm below level\", fontsize=12)\n",
    "_axg5.set_title(f\"{speed_slider.value} km/h: steady bounce {_steady:.1f} cm (road 2 cm)\",\n",
    "                fontsize=11)\n",
    "_axg5.legend(fontsize=9, loc=\"upper center\", bbox_to_anchor=(0.5, -0.17), ncol=2)\n",
    "_axg5.grid(True, alpha=0.3)\n",
    "\n",
    "# right: transmissibility against speed\n",
    "_axt5.plot(_speeds, _trans(_r, 0.25), color=\"#1a5276\", linewidth=2,\n",
    "           label=r\"comfort, $\\zeta = 0.25$\")\n",
    "_axt5.plot(_speeds, _trans(_r, 0.7), color=\"#b9770e\", linewidth=2,\n",
    "           label=r\"sporty, $\\zeta = 0.7$\")\n",
    "_r_now = _Om / _omega5\n",
    "_axt5.plot(speed_slider.value, _trans(_r_now, _zeta5), \"o\", color=\"#922b21\", markersize=10,\n",
    "           zorder=5)\n",
    "_axt5.axhline(1, color=\"grey\", linewidth=0.8)\n",
    "_axt5.set_xlim(5, 135)\n",
    "_axt5.set_ylim(0, 2.6)\n",
    "_axt5.set_xlabel(\"speed (km/h)\", fontsize=12)\n",
    "_axt5.set_ylabel(\"transmissibility\", fontsize=12)\n",
    "_axt5.set_title(\"body bounce ÷ road waves\", fontsize=11)\n",
    "_axt5.legend(fontsize=9, loc=\"upper right\")\n",
    "_axt5.grid(True, alpha=0.3)\n",
    "_fig5.tight_layout()\n",
    "_fig5;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "SdmI",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "**Questions.**\n",
    "\n",
    "1. At what speed does the body bounce most? Show that at this speed the road shakes the wheel at about the car's ride frequency, $f \\approx 1.27$ Hz.\n",
    "2. At 10 km/h, how big is the body's bounce compared with the road's waves? Why does that make sense?\n",
    "3. At 110 km/h, which damper lets less of the road into the car? And at the worst speed?\n",
    "4. Use your answers to explain why passenger cars choose a low damping ratio and racing cars a high one.\n",
    "\n",
    "<details><summary><b>Answers</b></summary>\n",
    "\n",
    "\n",
    "1. About 45 km/h. That is $V = 12.5$ m/s, so the wheel meets $12.5/10 = 1.25$ waves per second: the road pushes at almost exactly the frequency the car likes to bounce at. This is **resonance**, and with the comfort damper the body bounces more than twice as much as the road.\n",
    "2. About the same size: transmissibility close to 1. Driving slowly, the whole car just rides up and down the gentle waves, as if there were no suspension.\n",
    "3. At 110 km/h the comfort damper passes about 0.3 of the road's waves into the body, the sporty one about 0.6: the comfort damper is twice as smooth. Near 45 km/h it is the other way round, and the sporty damper keeps the bounce much smaller. The two curves cross at about 65 km/h, and so does every other damper's curve: the transmissibility is exactly 1 at $r = \\sqrt{2}$ whatever $\\zeta$ is (see the optional fold-out below), which here is 64.8 km/h.\n",
    "4. More damping only helps near resonance; above the crossing speed it makes the ride *harsher*. A passenger car spends most of its time cruising, with small bumps shaking it quickly, so it is tuned for that and accepts some bounce near resonance. A racing car cares more about keeping the body under control than about comfort.\n",
    "\n",
    "</details>\n",
    "\n",
    "<details><summary><b>Where the transmissibility formula comes from (optional)</b></summary>\n",
    "\n",
    "\n",
    "The spring and damper push on the difference between the body and the road under the wheel, $u(t) = a\\cos\\Omega t$: $$m\\,y'' + c\\,y' + s\\,y = s\\,u + c\\,u'.$$ The right-hand side is a combination of $\\cos\\Omega t$ and $\\sin\\Omega t$, so the trial PI is $y_p = A\\cos\\Omega t + B\\sin\\Omega t$ (Section 4.10). Substituting and solving for $A$ and $B$ gives a steady bounce of size $\\sqrt{A^2 + B^2}$. Dividing by $a$: $$\\text{transmissibility} = \\sqrt{\\frac{1 + (2\\zeta r)^2}{(1 - r^2)^2 + (2\\zeta r)^2}}, \\qquad r = \\frac{\\Omega}{\\omega}.$$ Check: at $r = 0$ it is 1, and as $r$ gets large it goes to 0. At $r = \\sqrt{2}$, $(1 - r^2)^2 = 1$, so the top and bottom are equal and the transmissibility is exactly 1 for every $\\zeta$: below that speed more damping means less bounce, above it more.\n",
    "\n",
    "</details>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "lgWD",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "## Extra — check the formula\n",
    "\n",
    "For the car of Exercise 1, the general solution with complex roots $-k \\pm ip$, where $p = \\sqrt{\\omega^2 - k^2}$, is $$y(t) = e^{-kt}\\bigl(c_1\\cos pt + c_2\\sin pt\\bigr).$$\n",
    "\n",
    "**Task (a), on paper.** Use $y(0) = y_0$ and $y'(0) = 0$ to find $c_1$ and $c_2$ in terms of $y_0$, $k$ and $p$. (Section 3.1 of the lecture did this with $y_0 = 1$.)\n",
    "\n",
    "**Task (b).** Turn it into code: replace the four placeholders. `k_formula` is $k = c/(2m)$ from Exercise 1. If your formula is right, the red curve sits on top of the loop's curve."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "yOPj",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.976844Z",
     "iopub.status.busy": "2026-11-13T23:25:57.976660Z",
     "iopub.status.idle": "2026-11-13T23:25:57.981254Z",
     "shell.execute_reply": "2026-11-13T23:25:57.980470Z"
    }
   },
   "outputs": [],
   "source": [
    "t_car = np.linspace(0, 3, 1501)\n",
    "k_formula = c_car / (2 * m_car)\n",
    "\n",
    "p_car = np.sqrt(omega_car**2 - k_formula**2)\n",
    "c1_car = y0_car\n",
    "c2_car = k_formula * y0_car / p_car\n",
    "y_by_formula = np.exp(-k_formula * t_car) * (c1_car * np.cos(p_car * t_car) + c2_car * np.sin(p_car * t_car))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "fwwy",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-11-13T23:25:57.982821Z",
     "iopub.status.busy": "2026-11-13T23:25:57.982657Z",
     "iopub.status.idle": "2026-11-13T23:25:58.137147Z",
     "shell.execute_reply": "2026-11-13T23:25:58.136267Z"
    },
    "jupyter": {
     "source_hidden": true
    },
    "marimo": {
     "config": {
      "hide_code": true
     }
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_fig6, _ax6 = plt.subplots(figsize=(10, 3.6))\n",
    "_ax6.plot(t_push, 100 * y_push, color=\"#1a5276\", linewidth=5, alpha=0.35,\n",
    "          label=\"follow_two_arrows (no formula)\")\n",
    "_ax6.plot(t_car, 100 * y_by_formula, color=\"#922b21\", linewidth=1.8, label=\"your formula\")\n",
    "_ax6.axhline(0, color=\"grey\", linewidth=0.8)\n",
    "_ax6.set_xlim(0, 3)\n",
    "_ax6.set_ylim(-5.5, 5.5)\n",
    "_ax6.set_xlabel(r\"$t$ (s)\", fontsize=12)\n",
    "_ax6.set_ylabel(r\"$y$ (cm below rest)\", fontsize=12)\n",
    "_ax6.legend(fontsize=10, loc=\"upper right\")\n",
    "_ax6.grid(True, alpha=0.3)\n",
    "_fig6.tight_layout()\n",
    "_fig6;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "LJZf",
   "metadata": {
    "marimo": {
     "config": {
      "hide_code": true
     },
     "md_prefix": "r"
    }
   },
   "source": [
    "<details><summary><b>Answer</b></summary>\n",
    "\n",
    "\n",
    "$y(0) = c_1 = y_0$. Differentiating, $y'(0) = -kc_1 + pc_2 = 0$, so $c_2 = k y_0/p$. In code: `p_car = np.sqrt(omega_car**2 - k_formula**2)`, `c1_car = y0_car`, `c2_car = k_formula * y0_car / p_car`, and `y_by_formula = np.exp(-k_formula * t_car) * (c1_car * np.cos(p_car * t_car) + c2_car * np.sin(p_car * t_car))`.\n",
    "\n",
    "</details>\n",
    "\n",
    "---\n",
    "\n",
    "[1] M. Giaraffa, *Tech Tip: Springs & Dampers*, Parts One and Three, OptimumG (vehicle dynamics consultancy). Ride frequencies: Part One. Damping ratios: Part Three.\n",
    "\n",
    "[2] ISO 2631-1:1997, *Mechanical vibration and shock — Evaluation of human exposure to whole-body vibration — Part 1: General requirements*, Annex D (motion sickness).\n",
    "\n",
    "[3] M. Giaraffa and S. Brisson, *Tech Tip: Springs & Dampers*, Episode Four, OptimumG (transmissibility)."
   ]
  }
 ],
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   "codemirror_mode": {
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   "pygments_lexer": "ipython3",
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  "marimo": {
   "app_config": {
    "app_title": "Week 5 Lab — Designing a car's suspension (Answers)",
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