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Diffstat (limited to 'Engineering_Mechanics_by_Khurmi_R.S./chapter28.ipynb')
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diff --git a/Engineering_Mechanics_by_Khurmi_R.S./chapter28.ipynb b/Engineering_Mechanics_by_Khurmi_R.S./chapter28.ipynb new file mode 100644 index 00000000..e82bf6da --- /dev/null +++ b/Engineering_Mechanics_by_Khurmi_R.S./chapter28.ipynb @@ -0,0 +1,253 @@ +{
+ "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": {}
+ }
+ ]
+}
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