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    "# Initial Launch Positions\n",
    "\n",
    "This short notebook demonstrates how to inspect a trebuchet's starting configuration and visualize it.\n",
    "\n",
    "- Create a default `HingedCounterweightTrebuchet`\n",
    "- Print the initial angles in degrees for the arm, counterweight, and projectile\n",
    "- Render a clean plot of the initial position\n",
    "\n",
    "Tip: You can tweak geometric parameters on `HingedCounterweightTrebuchet.default()` and re-run to see how the initial pose changes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1",
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import pi\n",
    "\n",
    "from pytrebuchet.plotting.initial_position import plot_initial_position\n",
    "from pytrebuchet.trebuchet import HingedCounterweightTrebuchet"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2",
   "metadata": {},
   "source": [
    "## 1. Setup\n",
    "\n",
    "We import the core classes and a helper plotting function. The default factory `HingedCounterweightTrebuchet.default()` supplies a reasonable geometry and masses."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3",
   "metadata": {},
   "source": [
    "## 2. Inspect initial angles\n",
    "\n",
    "We print the initial angles in degrees for:\n",
    "\n",
    "- Arm (main beam)\n",
    "- Counterweight\n",
    "- Projectile (at sling end)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4",
   "metadata": {},
   "outputs": [],
   "source": [
    "trebuchet = (\n",
    "    HingedCounterweightTrebuchet.default()\n",
    ")  # Create a default hinged counterweight trebuchet\n",
    "\n",
    "print(f\"Initial angle arm: {trebuchet.init_angle_arm * 180 / pi:.2f} deg\")\n",
    "print(f\"Initial angle weight: {trebuchet.init_angle_weight * 180 / pi:.2f} deg\")\n",
    "print(f\"Initial angle projectile: {trebuchet.init_angle_projectile * 180 / pi:.2f} deg\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5",
   "metadata": {},
   "source": [
    "## 3. Plot initial position\n",
    "\n",
    "We now draw the starting configuration. This helps verify the pivot height, arm lengths, sling geometry, and projectile placement before running any dynamic simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6",
   "metadata": {},
   "outputs": [],
   "source": [
    "plot_initial_position(trebuchet=trebuchet)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7",
   "metadata": {},
   "source": [
    "## 4. Whipper configuration\n",
    "\n",
    "We now do the same for a `WhipperTrebuchet`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8",
   "metadata": {},
   "outputs": [],
   "source": [
    "from pytrebuchet.trebuchet import WhipperTrebuchet\n",
    "\n",
    "whipper = WhipperTrebuchet.default()  # Create a default whipper trebuchet\n",
    "\n",
    "print(f\"Initial angle arm: {whipper.init_angle_arm * 180 / pi:.2f} deg\")\n",
    "print(f\"Initial angle weight: {whipper.init_angle_weight * 180 / pi:.2f} deg\")\n",
    "print(f\"Initial angle projectile: {whipper.init_angle_projectile * 180 / pi:.2f} deg\")\n",
    "\n",
    "plot_initial_position(trebuchet=whipper)"
   ]
  }
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