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{
"metadata": {
"name": "",
"signature": "sha256:009e429ea1d1a6f618797566ada042bfaebc4f67f1205df26f3e658838bf8819"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 28:Motion Along a Circular Path"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 28.1, Page no.574"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#variable declaration\n",
"m=5 #mass of body in kg\n",
"r=1.5 #Radius of circle in m\n",
"omega=2 #angular velocity of the body in rad/s\n",
"\n",
"#calculation\n",
"F=m*omega**2*r\n",
"\n",
"#Result\n",
"print\"F=\",int(F),\"N\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"F= 30 N\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 28.2, Page no.574"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#variable declaration\n",
"m=1 #mass of stone in kg\n",
"r=1 #Radius of circle in m\n",
"v=10 #linear velocity of the stone in m/s\n",
"\n",
"#calculation\n",
"F=(m*v**2)/r\n",
"\n",
"#Result\n",
"print\"The value of centrifugal force acting on the stone, F=\",int(F),\"N\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The value of centrifugal force acting on the stone, F= 100 N\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 28.3, Page no.574"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#variable declaration\n",
"m=0.25 #mass of ball in kg\n",
"r=2 #Radius of circle in m\n",
"F=25 #maximum tension in the sring in N\n",
"\n",
"#calculation\n",
"omega=math.sqrt(F/(m*r))\n",
"\n",
"#Result\n",
"print\"The maximum angular velocity at which the ball can be rotated, omega=\",round(omega,2),\"rad/s\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The maximum angular velocity at which the ball can be rotated, omega= 7.07 rad/s\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 28.6, Page no.576"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#variable declaration\n",
"m=60 #mass of railway engine in t\n",
"r=200 #Radius of circular path in m\n",
"v=10 #velocity of engine in m/s\n",
"\n",
"#calculation\n",
"P_c=(m*v**2)/r\n",
"\n",
"#Result\n",
"print\"The force exerted on the rails towards the centre of the circle, P_c=\",int(P_c),\"kN\"\n",
"\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The force exerted on the rails towards the centre of the circle, P_c= 30 kN\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 28.7, Page no.576"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#variable declaration\n",
"m=1.5 #mass of automobile in t\n",
"v=15 #velocity of automobile in m/s\n",
"r=25 #radius of the sag in m\n",
"g=9.8 #gravity in m/s**2\n",
"\n",
"#calculation\n",
"R=((m*v**2)/r)+(m*g)\n",
"\n",
"#Result\n",
"print\"The reaction between the automobile and road while travelling at the lowest part of the sag is\",round(R,1),\"kN\"\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The reaction between the automobile and road while travelling at the lowest part of the sag is 28.2 kN\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 28.13, Page no.583"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"#variable declaration\n",
"r=50 #Radius of level track in m\n",
"Mu=0.45 #Coefficient of friction\n",
"g=9.8 #gravity in m/s**2\n",
"\n",
"#calculation\n",
"v_max=(math.sqrt(Mu*g*r))*3.6 #Multiplying by 3.6 to convert m/s to km.p.h.\n",
"\n",
"#Result\n",
"print\"Maximum speed,v_max=\",round(v_max,1),\"km.p.h.\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum speed,v_max= 53.5 km.p.h.\n"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
|
