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| author | Trupti Kini | 2017-03-13 23:30:19 +0600 |
|---|---|---|
| committer | Trupti Kini | 2017-03-13 23:30:19 +0600 |
| commit | f4d6e4a3767265014f0daf357bcedf47f1ddf7ef (patch) | |
| tree | d31a5b99892fb81194376b3b0d85e562bacd2f60 /Modern_physics_for_engineers_by_S.P.Taneja/chapter6.ipynb | |
| parent | ac673eeec7bf2a6ee443456d419e307da91cf595 (diff) | |
| download | Python-Textbook-Companions-f4d6e4a3767265014f0daf357bcedf47f1ddf7ef.tar.gz Python-Textbook-Companions-f4d6e4a3767265014f0daf357bcedf47f1ddf7ef.tar.bz2 Python-Textbook-Companions-f4d6e4a3767265014f0daf357bcedf47f1ddf7ef.zip | |
Added(A)/Deleted(D) following books
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter1.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter10.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter11.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter12.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter13.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter14.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter15.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter2.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter3.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter4.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter5.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter6.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter7.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter8.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter9.ipynb
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/screenshots/11.png
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/screenshots/22.png
A BSc_3rd_Year_Physics_Paper_4_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/screenshots/33.png
A Modern_physics_for_engineers_by_S.P.Taneja/AppendixB.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/AppendixC.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/AppendixE.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/Chapter18.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter1.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter10.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter11.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter12.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter14.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter15.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter17.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter19.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter2.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter20.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter21.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter23.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter24.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter4.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter5.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter6.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter7.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter8.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chapter9.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/chpater3.ipynb
A Modern_physics_for_engineers_by_S.P.Taneja/screenshots/image1.png
A Modern_physics_for_engineers_by_S.P.Taneja/screenshots/image2.png
A Modern_physics_for_engineers_by_S.P.Taneja/screenshots/image3.png
A Solid_State_Physics_by_Dr_M_Arumugam/Chapter1.ipynb
A Solid_State_Physics_by_Dr_M_Arumugam/Chapter10.ipynb
A Solid_State_Physics_by_Dr_M_Arumugam/Chapter11.ipynb
A Solid_State_Physics_by_Dr_M_Arumugam/Chapter12.ipynb
A Solid_State_Physics_by_Dr_M_Arumugam/Chapter13.ipynb
A Solid_State_Physics_by_Dr_M_Arumugam/Chapter14.ipynb
A Solid_State_Physics_by_Dr_M_Arumugam/Chapter2.ipynb
A Solid_State_Physics_by_Dr_M_Arumugam/Chapter3.ipynb
A Solid_State_Physics_by_Dr_M_Arumugam/Chapter4.ipynb
A Solid_State_Physics_by_Dr_M_Arumugam/Chapter5.ipynb
A Solid_State_Physics_by_Dr_M_Arumugam/Chapter6.ipynb
A Solid_State_Physics_by_Dr_M_Arumugam/Chapter8.ipynb
A Solid_State_Physics_by_Dr_M_Arumugam/screenshots/22.png
A Solid_State_Physics_by_Dr_M_Arumugam/screenshots/33.png
A Solid_State_Physics_by_Dr_M_Arumugam/screenshots/44.png
Diffstat (limited to 'Modern_physics_for_engineers_by_S.P.Taneja/chapter6.ipynb')
| -rw-r--r-- | Modern_physics_for_engineers_by_S.P.Taneja/chapter6.ipynb | 836 |
1 files changed, 836 insertions, 0 deletions
diff --git a/Modern_physics_for_engineers_by_S.P.Taneja/chapter6.ipynb b/Modern_physics_for_engineers_by_S.P.Taneja/chapter6.ipynb new file mode 100644 index 00000000..43d3d9d3 --- /dev/null +++ b/Modern_physics_for_engineers_by_S.P.Taneja/chapter6.ipynb @@ -0,0 +1,836 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:6ffb6fb5f2eac445aca13f38980506e3cf9076ac340f9f29d4a27dddedd73157"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 6 Oscillatory motion"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.1 Page no 218"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "A =0.05 #Amplitude of SHM in m\n",
+ "T =6.0 # period in sec\n",
+ "Xo=A\n",
+ "X =0.025\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "w =2*3.14/T\n",
+ "ph= math.asin (Xo/A)\n",
+ "t=(math.asin (X/Xo)-ph)/w \n",
+ "t1= abs (t)\n",
+ "\n",
+ "#Result\n",
+ "print\"Timeto move from equilibrium position is\",round(t1,1),\"sec\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Timeto move from equilibrium position is 1.0 sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.2 Page no 219"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "A =0.06 #Amplitude of SHM in m\n",
+ "T =31.4\n",
+ "\n",
+ "#Calculation\n",
+ "w =2*3.14/T\n",
+ "V=A*w\n",
+ "\n",
+ "#Result\n",
+ "print\"Maximum velocity is\",V,\"m/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Maximum velocity is 0.012 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.3 Page no 219"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "A=0.05 #m\n",
+ "T=2 #S\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "x=A*math.sin(math.pi/3.0)\n",
+ "v=A*math.pi*math.sqrt(1-(x**2/A**2))\n",
+ "\n",
+ "#Result\n",
+ "print\"Displacement is\",round(x*10**2,1),\"cm\"\n",
+ "print\"Velocity is\", round(v*10**2,2),\"cm/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Displacement is 4.3 cm\n",
+ "Velocity is 7.85 cm/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 20
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.4 Page no 219"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "l =1 # length of pendulum in m\n",
+ "m =1 #mass of pendulum in kg\n",
+ "g =9.8\n",
+ "\n",
+ "#Calculation\n",
+ "T =2*3.14* math.sqrt (l/g)\n",
+ "\n",
+ "#Result\n",
+ "print\"Period of oscillation is\",round(T,1),\"sec\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Period of oscillation is 2.0 sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.5 Page no 220"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "m1 =8 #mass suspended in kg\n",
+ "l =0.32\n",
+ "m =0.50\n",
+ "g =9.8\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "k=m1*g/l\n",
+ "T=2*math.pi* math.sqrt (m/k)\n",
+ "\n",
+ "#Result\n",
+ "print\"K=\",k,\"N m\"\n",
+ "print\"Time period of the oscillation is\",round(T,2),\"sec\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "K= 245.0 N m\n",
+ "Time period of the oscillation is 0.28 sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 26
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.6 Page no 220"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "K=98.0 #N/m\n",
+ "x=20 #cm\n",
+ "g=9.8 #m/sec**2\n",
+ "\n",
+ "#Calculation\n",
+ "F=K*x/100.0\n",
+ "m=K*x/(100*g)\n",
+ "\n",
+ "#Result\n",
+ "print\"Restoring force is\",F,\"N\"\n",
+ "print\"Mass is\",m,\"Kg\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Restoring force is 19.6 N\n",
+ "Mass is 2.0 Kg\n"
+ ]
+ }
+ ],
+ "prompt_number": 31
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.7 Page no 220"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "T=57\n",
+ "l=79\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "g=4*math.pi**2*l*T**2/(100*100**2)\n",
+ "\n",
+ "#Result\n",
+ "print\"Value of g is\", round(g,2),\"m/s**2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of g is 10.13 m/s**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 35
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.8 Page no 221"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "m=4\n",
+ "T=55\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "K=(2*math.pi*math.sqrt(m)*55/100.0)**2\n",
+ "\n",
+ "#Result\n",
+ "print\"Stiffness factor is\", round(K,2),\"N/m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Stiffness factor is 47.77 N/m\n"
+ ]
+ }
+ ],
+ "prompt_number": 39
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.9 Page no 221"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "K=89.2 # N/m\n",
+ "T=1 #S\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "M=(T*math.sqrt(K)/(2*math.pi))**2\n",
+ "\n",
+ "#Result\n",
+ "print\"Mass is\", round(M,2),\"Kg\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Mass is 2.26 Kg\n"
+ ]
+ }
+ ],
+ "prompt_number": 45
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.10 Page no 221"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "m=4 #Kg\n",
+ "g=9.8 #m/sec**2\n",
+ "x=16.0\n",
+ "m1=0.5\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "K=m*g*100/x\n",
+ "T=2*math.pi*math.sqrt(m1/K)\n",
+ "\n",
+ "#Result\n",
+ "print\"Time period is\", round(T,2),\"Sec\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Time period is 0.28 Sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 49
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.11 Page no 222"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "T=50.0 #S\n",
+ "\n",
+ "#Calculation\n",
+ "t=1/(2*T)\n",
+ "t1=1/t\n",
+ "t2=t1/2.0\n",
+ "\n",
+ "#Result\n",
+ "print\"Time is\", t2,\"Second\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Time is 50.0 Second\n"
+ ]
+ }
+ ],
+ "prompt_number": 55
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.12 Page no 222"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a=200.0\n",
+ "b=2.3\n",
+ "\n",
+ "#Calculation\n",
+ "y=b/a\n",
+ "D=1/y\n",
+ "\n",
+ "#Result\n",
+ "print\"(i) Damping constant is\", y\n",
+ "print\"(ii) Decay modulus is\",round(D,1),\"Second\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(i) Damping constant is 0.0115\n",
+ "(ii) Decay modulus is 87.0 Second\n"
+ ]
+ }
+ ],
+ "prompt_number": 61
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.13 Page no 223"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a=20 #cm\n",
+ "b=2.0\n",
+ "x=100.0\n",
+ "y=2.3\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "w=a/b\n",
+ "w1=y/x\n",
+ "\n",
+ "#Result\n",
+ "print\"Logarithmic decrement of the system is\", w1"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Logarithmic decrement of the system is 0.023\n"
+ ]
+ }
+ ],
+ "prompt_number": 64
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.14 Page no 223"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "n=2\n",
+ "m=0.3\n",
+ "Q=60.0\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "K=16*math.pi**2*m\n",
+ "p=2*math.pi*n*m/Q\n",
+ "\n",
+ "#Result\n",
+ "print\"Force constant is\",round(K,2),\"N/m\"\n",
+ "print\"Mechanical resistance is\",round(p,5),\"Kg/m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Force constant is 47.37 N/m\n",
+ "Mechanical resistance is 0.06283 Kg/m\n"
+ ]
+ }
+ ],
+ "prompt_number": 70
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.15 Page no 223"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "Q=10**4\n",
+ "b=500\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "a=math.log(10)*Q/(b*math.pi)\n",
+ "\n",
+ "#Result\n",
+ "print\"Time interval is\", round(a,2),\"Seconds\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Time interval is 14.66 Seconds\n"
+ ]
+ }
+ ],
+ "prompt_number": 77
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.16 Page no 224"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "Q=2*10**3\n",
+ "v =240\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "w =2*3.14*v\n",
+ "r= math.exp (2)\n",
+ "T=Q/w\n",
+ "t =2* T*log(r)\n",
+ "\n",
+ "#Result\n",
+ "print\"Time to become for new amplitude is\",round(t,1),\"sec\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Time to become for new amplitude is 5.3 sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.17 Page no 224"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "A0=10.0\n",
+ "T=200\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "y=math.log(10)/A0\n",
+ "t=1/(2*y)\n",
+ "Q=2*math.pi*t*T\n",
+ "t1=t*math.log(A0)\n",
+ "\n",
+ "#Result\n",
+ "print\"(i) Relaxation time is\", round(t,3),\"Second\"\n",
+ "print\"(ii) Quality factor is\", round(Q,0)\n",
+ "print\"(iii) Time is\",t1,\"Second\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(i) Relaxation time is 2.171 Second\n",
+ "(ii) Quality factor is 2729.0\n",
+ "(iii) Time is 5.0 Second\n"
+ ]
+ }
+ ],
+ "prompt_number": 87
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.18 Page no 225"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E=10**3\n",
+ "w=256\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "t=E/(2*math.pi*w)\n",
+ "n=E/(2*math.pi)\n",
+ "\n",
+ "#Result\n",
+ "print\"Time is\", round(t,2),\"Sec\"\n",
+ "print\"Number of oscillations is\",round(n,0)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Time is 0.62 Sec\n",
+ "Number of oscillations is 159.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 93
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.20 Page no 226"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "Ao =0.1 #amplitude at minimum frequency in mm\n",
+ "A =100 #maximum amplitude\n",
+ "w =100\n",
+ "\n",
+ "#Calculation\n",
+ "Q=A/Ao\n",
+ "T=Q/w\n",
+ "hw =1/(2* T)\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Quality factor is\",Q\n",
+ "print\"(b) Energy decay time is\",T,\"sec\"\n",
+ "print\"(c) Half width of power resonance curve is\",hw,\"rad/sec\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Quality factor is 1000.0\n",
+ "(b) Energy decay time is 10.0 sec\n",
+ "(c) Half width of power resonance curve is 0.05 rad/sec\n"
+ ]
+ }
+ ],
+ "prompt_number": 20
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.21 Page no 226"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "m =0.1 #suspended mass in kg\n",
+ "k =100 #force constant in N/m\n",
+ "Fo =2\n",
+ "p =1\n",
+ "W =50\n",
+ "a=1000\n",
+ "a1=2500\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "Wo= math.sqrt (k/m)\n",
+ "f=Fo/m\n",
+ "d=p /(2* m)\n",
+ "B=f/ (math.sqrt((a-a1)**2+(k*W**2)))\n",
+ "delta = math.atan(2*d*W/( Wo**2-W**2) )*180/3.14+180\n",
+ "\n",
+ "#Result\n",
+ "print\"Amplitude of oscillation is\",round(B,4),\"m\"\n",
+ "print\"Relative phase is\",round(delta,1),\"degree\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Amplitude of oscillation is 0.0126 m\n",
+ "Relative phase is 161.6 degree\n"
+ ]
+ }
+ ],
+ "prompt_number": 110
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.22 Page no 227"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "Q=50\n",
+ "a=1.4\n",
+ "\n",
+ "#Calculation\n",
+ "B=1/a\n",
+ "\n",
+ "#Result\n",
+ "print\"Value of B/Bmax is\",round(B,2)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of B/Bmax is 0.71\n"
+ ]
+ }
+ ],
+ "prompt_number": 113
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |