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Diffstat (limited to 'Engineering_Mechanics_by_Khurmi_R.S./chapter17.ipynb')
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1 files changed, 399 insertions, 0 deletions
diff --git a/Engineering_Mechanics_by_Khurmi_R.S./chapter17.ipynb b/Engineering_Mechanics_by_Khurmi_R.S./chapter17.ipynb new file mode 100644 index 00000000..c298d51e --- /dev/null +++ b/Engineering_Mechanics_by_Khurmi_R.S./chapter17.ipynb @@ -0,0 +1,399 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:85535c0517c7db1c26616cfbd159ac864531d333c114379946da9cf48e690b11"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "chapter 17:Linear Motion"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.1, Page no.363"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#variable declaration\n",
+ "u=0 #initial velocity\n",
+ "a=0.4 #acceleration in m/s**2\n",
+ "t=20 #Time taken in s\n",
+ "\n",
+ "#calculation\n",
+ "s=(u*t)+((a*t**2)/2)\n",
+ "\n",
+ "#Result\n",
+ "print\"The distance covered by the car, s=\",int(s),\"m\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The distance covered by the car, s= 80 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.2, Page no.363"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#variable declaration\n",
+ "u=7.5 #on coverting km.p.h to m/s\n",
+ "a=0.5 #acceleration in m/s**2\n",
+ "t=12 #Time taken in s\n",
+ "\n",
+ "#calculation\n",
+ "s=(u*t)+((a*t**2)/2)\n",
+ "\n",
+ "#Result\n",
+ "print\"The distance travelled by the train, s=\",int(s),\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The distance travelled by the train, s= 126 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.3, Page no.363"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#variable declaration\n",
+ "u=0 #initial velocity\n",
+ "a=1.2 #acceleration in m/s**2\n",
+ "s=60 #distance travelled in m\n",
+ "\n",
+ "#calculation\n",
+ "v=math.sqrt(u**2+(2*a*s))\n",
+ "\n",
+ "#Result\n",
+ "print\"v=\",round((v*3600)/1000,1),\"km.p.h.\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "v= 43.2 km.p.h.\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.9, Page no.368"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#variable declaration\n",
+ "u=-4.9 #initial velocity in m/s\n",
+ "t=2 #time taken in s\n",
+ "g=9.8 #gravity in m/s**2\n",
+ "\n",
+ "#calculation\n",
+ "h=(u*t)+((g*t**2)/2)\n",
+ "\n",
+ "#Result\n",
+ "print\"Height of the bridge, h=\",round(h,1),\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Height of the bridge, h= 9.8 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.10, Page no.368"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#variable declaration\n",
+ "u=-12 #velocity of balloon when packet is dropped in m/s\n",
+ "t=2 #time in s\n",
+ "g=9.8 #gravity in m/s**2\n",
+ "\n",
+ "#calculation\n",
+ "v=u+(g*t)\n",
+ "\n",
+ "#Result\n",
+ "print\"Velocity of packet after 2 sec, v=\",round(v,1),\"m/s\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Velocity of packet after 2 sec, v= 7.6 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.11, Page no.368"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#variable declaration\n",
+ "u=0 #initial velocity\n",
+ "t=2.8 #Time taken in s\n",
+ "g=9.8 #gravity in m/s**2\n",
+ "\n",
+ "#calculation\n",
+ "s=(u*t)+((g*t**2)/2)\n",
+ "\n",
+ "#Result\n",
+ "print\"The height of the buiding, s=\",round(s,1),\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The height of the buiding, s= 38.4 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.12, Page no.368"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#variable declaration\n",
+ "u=0 #initial velocity\n",
+ "s=65 #height of the building in s\n",
+ "g=9.8 #gravity in m/s**2\n",
+ "\n",
+ "#calculation\n",
+ "v=math.sqrt(u**2+(2*g*s))\n",
+ "\n",
+ "#Result\n",
+ "print\"v=\",round(v,1),\"m/s\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "v= 35.7 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.13, Page no.368"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#variable declaration\n",
+ "u=-28 #initial velocity in m/s\n",
+ "t=2 #time taken in s\n",
+ "g=9.8 #gravity in m/s**2\n",
+ "\n",
+ "#calculation\n",
+ "s=(u*t)+((g*t**2)/2)\n",
+ "\n",
+ "#Result\n",
+ "print\"Distance covered by the body in 2 seconds, s=\",round(s,1),\"m\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Distance covered by the body in 2 seconds, s= -36.4 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.14, Page no.368"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#variable declaration\n",
+ "u=-80 #initial velocity in m/s\n",
+ "v=0 #Final velocity\n",
+ "g=9.8 #gravity in m/s**2\n",
+ "\n",
+ "#calculation\n",
+ "s=(v**2-u**2)/(2*g)\n",
+ "\n",
+ "#Result\n",
+ "print\"Height to which the bullet will rise above the point of projection, s=\",round(s,1),\"m\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Height to which the bullet will rise above the point of projection, s= -326.5 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17.15, Page no.369"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#variable declaration\n",
+ "u=0 #initial velocity\n",
+ "t_1=3 #Time taken by the first body in s\n",
+ "t_2=2 #Time taken by the second body in s\n",
+ "\n",
+ "#calculation\n",
+ "h_1=(u*t_1)+((g*t_1**2)/2)\n",
+ "h_2=(u*t_2)+((g*t_2**2)/2)\n",
+ "\n",
+ "#Result\n",
+ "print\"Separation between the bodies=\",round(h_1-h_2,1),\"m\"\n",
+ "\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Separation between the bodies= 24.5 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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