2140 Kinematic Advance Example.ipynb

{
 "cells": [
  {
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   },
   "cell_type": "markdown",
   "id": "4774a8b6-06ab-4dff-a029-0d39655b5dcb",
   "metadata": {
    "tags": []
   },
   "source": [
    "![line.png](attachment:baddecb4-e838-40d2-b5f0-cf399d0f02ce.png)"
   ]
  },
  {
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"
    }
   },
   "cell_type": "markdown",
   "id": "a5fac7db-4d9f-4383-af66-e59be028a103",
   "metadata": {},
   "source": [
    "![image.png](attachment:fb8cbd79-16d2-4025-9bb4-ef8001945458.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5feca8bb-e729-4e84-97f1-c0ba0c0b36dc",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from Libaldomath import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "21f78f3d-6a3c-4731-84eb-2db80c79edaf",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "A=mparticle(y1=2*R,y2=0,x1=0,x2=2*R,v1=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f1e561fd-d14c-4443-bb82-c88167ead6cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle v_2 =2 \\sqrt{R g}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "V2=simplesolve(A.energia('p2')+A.energia('k2')-A.energia('p1')-A.energia('k1'),v2,'positive')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "3a76256a-7afa-44d2-95e5-f6d1b913877f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "B=mparticle(y1=0,y2=R-R*sin(alpha),x1=0,x2=R*cos(alpha) ,v1=V2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "49b563ff-f8c8-47de-81d9-1363904aeb37",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle v_2 =\\sqrt{2} \\sqrt{R g \\left(\\sin{\\left(\\alpha \\right)} + 1\\right)}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "V3=simplesolve(B.energia('p2')+B.energia('k2')-B.energia('p1')-B.energia('k1'),v2,'pos')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "a4f998a1-85a0-4cdc-b271-918801f2505a",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "C=mparticle(x1=0,y1=R-R*sin(alpha) ,y2=0,v1=V3,a=alpha)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "12d8d0ce-365c-488f-b17e-b19dbc12e1b5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle 2 R \\left(\\sin{\\left(\\alpha \\right)} + 1\\right) \\sin{\\left(\\alpha \\right)} \\cos{\\left(\\alpha \\right)}$"
      ],
      "text/plain": [
       "2⋅R⋅(sin(α) + 1)⋅sin(α)⋅cos(α)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C.xmax()"
   ]
  },
  {
   "attachments": {
    "baddecb4-e838-40d2-b5f0-cf399d0f02ce.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "c7e08373-d4e0-4001-8377-4035a9bd37a5",
   "metadata": {
    "tags": []
   },
   "source": [
    "![line.png](attachment:baddecb4-e838-40d2-b5f0-cf399d0f02ce.png)"
   ]
  },
  {
   "attachments": {
    "91ea4501-3849-427f-aa08-9fe0bcf5defa.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "6ba99f9e-5727-4280-9904-03c83ff3e127",
   "metadata": {},
   "source": [
    "![image.png](attachment:91ea4501-3849-427f-aa08-9fe0bcf5defa.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b877e8ca-200d-4192-b656-945d1b39b7e3",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from Libaldomath import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ef85b871-823d-45fa-b245-606375d04b3f",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6d07a02d-a03d-4dc9-aa0e-ff23843549ac",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "attachments": {
    "baddecb4-e838-40d2-b5f0-cf399d0f02ce.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "f7ee64c4-6160-4a57-83e6-bd24c230dbb7",
   "metadata": {
    "tags": []
   },
   "source": [
    "![line.png](attachment:baddecb4-e838-40d2-b5f0-cf399d0f02ce.png)"
   ]
  },
  {
   "attachments": {
    "91ea4501-3849-427f-aa08-9fe0bcf5defa.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "ed29392f-c0d7-4fa9-971d-4da2ba12e831",
   "metadata": {},
   "source": [
    "![image.png](attachment:91ea4501-3849-427f-aa08-9fe0bcf5defa.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "26f0ad9a-4f83-4f8b-a05b-ff6214fc7e0d",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from Libaldomath import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0cee57db-f49f-4287-9cf7-895e64c245ad",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0e567136-0aad-44fe-a873-8027c5524389",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "attachments": {
    "baddecb4-e838-40d2-b5f0-cf399d0f02ce.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "6e5de242-4b18-4508-8b2b-c67cf348a95b",
   "metadata": {
    "tags": []
   },
   "source": [
    "![line.png](attachment:baddecb4-e838-40d2-b5f0-cf399d0f02ce.png)"
   ]
  },
  {
   "attachments": {
    "91ea4501-3849-427f-aa08-9fe0bcf5defa.png": {
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    }
   },
   "cell_type": "markdown",
   "id": "00cd4cdc-bc21-4b13-a397-12b0b4cd9b80",
   "metadata": {},
   "source": [
    "![image.png](attachment:91ea4501-3849-427f-aa08-9fe0bcf5defa.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c512835f-365a-4754-8aec-021b02a1c71b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from Libaldomath import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "98095651-6d27-4581-b85b-2c33e59afa38",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "063c7b36-1669-4acd-9680-3586d47a2e4e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "attachments": {
    "baddecb4-e838-40d2-b5f0-cf399d0f02ce.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "47be5fd8-34de-40ab-b7e1-fc1d83753a59",
   "metadata": {
    "tags": []
   },
   "source": [
    "![line.png](attachment:baddecb4-e838-40d2-b5f0-cf399d0f02ce.png)"
   ]
  },
  {
   "attachments": {
    "91ea4501-3849-427f-aa08-9fe0bcf5defa.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABM8AAABLCAYAAABneaATAAAHZElEQVR4Xu3aoRWAUAwEQei/Z6AAQKy+Qcdk8tU+zuu678NHgAABAgQIECBAgAABAgQIECBAgMBL4BTPvAoCBAgQIECAAAECBAgQIECAAAEC3wLimZdBgAABAgQIECBAgAABAgQIECBA4EdAPPM0CBAgQIAAAQIECBAgQIAAAQIECIhn3gABAgQIECBAgAABAgQIECBAgACBJuDPs+ZlmgABAgQIECBAgAABAgQIECBAYEhAPBs6tlUJECBAgAABAgQIECBAgAABAgSagHjWvEwTIECAAAECBAgQIECAAAECBAgMCYhnQ8e2KgECBAgQIECAAAECBAgQIECAQBMQz5qXaQIECBAgQIAAAQIECBAgQIAAgSEB8Wzo2FYlQIAAAQIECBAgQIAAAQIECBBoAuJZ8zJNgAABAgQIECBAgAABAgQIECAwJCCeDR3bqgQIECBAgAABAgQIECBAgAABAk1APGtepgkQIECAAAECBAgQIECAAAECBIYExLOhY1uVAAECBAgQIECAAAECBAgQIECgCYhnzcs0AQIECBAgQIAAAQIECBAgQIDAkIB4NnRsqxIgQIAAAQIECBAgQIAAAQIECDQB8ax5mSZAgAABAgQIECBAgAABAgQIEBgSEM+Gjm1VAgQIECBAgAABAgQIECBAgACBJiCeNS/TBAgQIECAAAECBAgQIECAAAECQwLi2dCxrUqAAAECBAgQIECAAAECBAgQINAExLPmZZoAAQIECBAgQIAAAQIECBAgQGBIQDwbOrZVCRAgQIAAAQIECBAgQIAAAQIEmoB41rxMEyBAgAABAgQIECBAgAABAgQIDAmIZ0PHtioBAgQIECBAgAABAgQIECBAgEATEM+al2kCBAgQIECAAAECBAgQIECAAIEhAfFs6NhWJUCAAAECBAgQIECAAAECBAgQaALiWfMyTYAAAQIECBAgQIAAAQIECBAgMCQgng0d26oECBAgQIAAAQIECBAgQIAAAQJNQDxrXqYJECBAgAABAgQIECBAgAABAgSGBMSzoWNblQABAgQIECBAgAABAgQIECBAoAmIZ83LNAECBAgQIECAAAECBAgQIECAwJCAeDZ0bKsSIECAAAECBAgQIECAAAECBAg0AfGseZkmQIAAAQIECBAgQIAAAQIECBAYEhDPho5tVQIECBAgQIAAAQIECBAgQIAAgSYgnjUv0wQIECBAgAABAgQIECBAgAABAkMC4tnQsa1KgAABAgQIECBAgAABAgQIECDQBMSz5mWaAAECBAgQIECAAAECBAgQIEBgSEA8Gzq2VQkQIECAAAECBAgQIECAAAECBJqAeNa8TBMgQIAAAQIECBAgQIAAAQIECAwJiGdDx7YqAQIECBAgQIAAAQIECBAgQIBAExDPmpdpAgQIECBAgAABAgQIECBAgACBIQHxbOjYViVAgAABAgQIECBAgAABAgQIEGgC4lnzMk2AAAECBAgQIECAAAECBAgQIDAkIJ4NHduqBAgQIECAAAECBAgQIECAAAECTUA8a16mCRAgQIAAAQIECBAgQIAAAQIEhgTEs6FjW5UAAQIECBAgQIAAAQIECBAgQKAJiGfNyzQBAgQIECBAgAABAgQIECBAgMCQgHg2dGyrEiBAgAABAgQIECBAgAABAgQINAHxrHmZJkCAAAECBAgQIECAAAECBAgQGBIQz4aObVUCBAgQIECAAAECBAgQIECAAIEmIJ41L9MECBAgQIAAAQIECBAgQIAAAQJDAuLZ0LGtSoAAAQIECBAgQIAAAQIECBAg0ATEs+ZlmgABAgQIECBAgAABAgQIECBAYEhAPBs6tlUJECBAgAABAgQIECBAgAABAgSagHjWvEwTIECAAAECBAgQIECAAAECBAgMCYhnQ8e2KgECBAgQIECAAAECBAgQIECAQBMQz5qXaQIECBAgQIAAAQIECBAgQIAAgSEB8Wzo2FYlQIAAAQIECBAgQIAAAQIECBBoAuJZ8zJNgAABAgQIECBAgAABAgQIECAwJCCeDR3bqgQIECBAgAABAgQIECBAgAABAk1APGtepgkQIECAAAECBAgQIECAAAECBIYExLOhY1uVAAECBAgQIECAAAECBAgQIECgCYhnzcs0AQIECBAgQIAAAQIECBAgQIDAkIB4NnRsqxIgQIAAAQIECBAgQIAAAQIECDQB8ax5mSZAgAABAgQIECBAgAABAgQIEBgSEM+Gjm1VAgQIECBAgAABAgQIECBAgACBJiCeNS/TBAgQIECAAAECBAgQIECAAAECQwLi2dCxrUqAAAECBAgQIECAAAECBAgQINAExLPmZZoAAQIECBAgQIAAAQIECBAgQGBIQDwbOrZVCRAgQIAAAQIECBAgQIAAAQIEmoB41rxMEyBAgAABAgQIECBAgAABAgQIDAmIZ0PHtioBAgQIECBAgAABAgQIECBAgEATEM+al2kCBAgQIECAAAECBAgQIECAAIEhAfFs6NhWJUCAAAECBAgQIECAAAECBAgQaAIPNhIqmYfeBZYAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "91cf4647-b833-4185-83b3-632a25b81ec1",
   "metadata": {},
   "source": [
    "![image.png](attachment:91ea4501-3849-427f-aa08-9fe0bcf5defa.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "04a8d4bd-7125-4254-a30a-b3e7edbafffc",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from Libaldomath import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3d4ee03c-f896-479a-9e50-5b311b43745e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "42c357f8-d00c-4e63-92fd-970a33873554",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "attachments": {
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     "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII="
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   },
   "cell_type": "markdown",
   "id": "dea8a1db-0450-4503-b788-27a7c8bd74de",
   "metadata": {
    "tags": []
   },
   "source": [
    "![line.png](attachment:baddecb4-e838-40d2-b5f0-cf399d0f02ce.png)"
   ]
  },
  {
   "attachments": {
    "91ea4501-3849-427f-aa08-9fe0bcf5defa.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "c4516bb5-287d-4abd-9cda-981e6cffca4e",
   "metadata": {},
   "source": [
    "![image.png](attachment:91ea4501-3849-427f-aa08-9fe0bcf5defa.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5a08fcbc-10d5-4a1a-860f-152ed29d631e",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from Libaldomath import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ab7eb733-25d0-43fd-8924-35a2dc4d6a3a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5066fc95-a54d-40ab-9365-3adf32ee0577",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}