diff options
| author | Thomas Stephen Lee | 2015-08-28 16:53:23 +0530 |
|---|---|---|
| committer | Thomas Stephen Lee | 2015-08-28 16:53:23 +0530 |
| commit | 4a1f703f1c1808d390ebf80e80659fe161f69fab (patch) | |
| tree | 31b43ae8895599f2d13cf19395d84164463615d9 /sample_notebooks/RohitPhadtare | |
| parent | 9d260e6fae7328d816a514130b691fbd0e9ef81d (diff) | |
| download | Python-Textbook-Companions-4a1f703f1c1808d390ebf80e80659fe161f69fab.tar.gz Python-Textbook-Companions-4a1f703f1c1808d390ebf80e80659fe161f69fab.tar.bz2 Python-Textbook-Companions-4a1f703f1c1808d390ebf80e80659fe161f69fab.zip | |
add books
Diffstat (limited to 'sample_notebooks/RohitPhadtare')
| -rwxr-xr-x | sample_notebooks/RohitPhadtare/chapter_1_som.ipynb | 438 |
1 files changed, 438 insertions, 0 deletions
diff --git a/sample_notebooks/RohitPhadtare/chapter_1_som.ipynb b/sample_notebooks/RohitPhadtare/chapter_1_som.ipynb new file mode 100755 index 00000000..ff3fcb22 --- /dev/null +++ b/sample_notebooks/RohitPhadtare/chapter_1_som.ipynb @@ -0,0 +1,438 @@ +{
+ "metadata": {
+ "name": "chapter 1 som.ipynb"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 1:Centre Of Gravity\n"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 1.1,Page No.8"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Initilization of Variables\n",
+ "\n",
+ "#Rectangle-1\n",
+ "a_1=37.5 #cm**2 \n",
+ "y_1=26.25 #cm \n",
+ "\n",
+ "#Rectangle-2\n",
+ "a_2=50 #cm**2 \n",
+ "y_2=15 #cm \n",
+ "\n",
+ "#Rectangle-3\n",
+ "a_3=150 #cm**2 \n",
+ "y_3=2.5 #cm \n",
+ "\n",
+ "\n",
+ "#Calculation\n",
+ "\n",
+ "\n",
+ "Y_bar=(a_1*y_1+a_2*y_2+a_3*y_3)*(a_1+a_2+a_3)**-1 #cm \n",
+ "\n",
+ "#Result\n",
+ "print\"The centroid of the section is\",round(Y_bar,2),\"cm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The centroid of the section is 8.88 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 1.2,Page No.9"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Initilization of variables\n",
+ "\n",
+ "#Area-1\n",
+ "a_1=6 #cm**2 \n",
+ "x_1=3 #cm\n",
+ "y_1=0.5 #cm\n",
+ "\n",
+ "#Area-2\n",
+ "a_2=6 #cm**2\n",
+ "x_2=2.671 #cm\n",
+ "y_2=3 #cm\n",
+ "\n",
+ "#Area-3\n",
+ "a_3=16 #cm**2\n",
+ "x_3=1 #cm\n",
+ "y_3=5 #cm\n",
+ "\n",
+ "\n",
+ "#Calculation\n",
+ "\n",
+ "\n",
+ "X_bar=(a_1*x_1+a_2*x_2+a_3*x_3)*(a_1+a_2+a_3)**-1 #cm\n",
+ "Y_bar=(a_1*y_1+a_2*y_2+a_3*y_3)*(a_1+a_2+a_3)**-1 #cm\n",
+ "\n",
+ "\n",
+ "#Result\n",
+ "print\"The centre of gravity of section is\",round(X_bar,2),\"cm\"\n",
+ "print\"The centre of gravity of section is\",round(Y_bar,2),\"cm\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The centre of gravity of section is 1.79 cm\n",
+ "The centre of gravity of section is 3.61 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 1.3,Page no.10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Initilization of variables\n",
+ "\n",
+ "#Area-1\n",
+ "a_1=93.75 #cm**2 \n",
+ "y_1=6.25 #cm\n",
+ "\n",
+ "#Area-2\n",
+ "a_2=93.75 #cm**2 \n",
+ "y_2=6.25 #cm\n",
+ "\n",
+ "#Area-3\n",
+ "a_3=375 #cm**2 \n",
+ "y_3=9.375 #cm\n",
+ "\n",
+ "#Area-4\n",
+ "a_4=353.43 #cm**2\n",
+ "y_4=6.366 #cm\n",
+ "\n",
+ "\n",
+ "#Calculation\n",
+ "\n",
+ "Y_bar=(a_1*y_1+a_2*y_2+a_3*y_3-a_4*y_4)*(a_1+a_2+a_3-a_4)**-1 #cm\n",
+ "\n",
+ "\n",
+ "#Result\n",
+ "print\"The centre of gravity lies at a distance of \",round(Y_bar,2),\"cm\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The centre of gravity lies at a distance of 11.66 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 1.4,Page no.10\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Initilization of variables\n",
+ "\n",
+ "\n",
+ "a_1=36*pi #cm**2 #Area of Quadrant of a circle\n",
+ "x_1=16/pi #cm \n",
+ "y_1=16*pi**-1 #cm\n",
+ "\n",
+ "\n",
+ "a_2=18*pi #cm**2 #Area of the semicircle\n",
+ "x_2=6 #cm\n",
+ "y_2=8*pi**-1 #cm\n",
+ "\n",
+ "\n",
+ "#Calculation-1\n",
+ "\n",
+ "X_bar=(a_1*x_1-a_2*x_2)*(a_1-a_2)**-1 #cm\n",
+ "\n",
+ "#Calculation-2\n",
+ "#To calculate Y_bar,taking AB as the Reference line\n",
+ "\n",
+ "Y_bar=(a_1*y_1-a_2*y_2)*(a_1-a_2)**-1 #cm\n",
+ "\n",
+ "#Result\n",
+ "\n",
+ "print\"The centre of gravity is \",round(X_bar,2),\"cm\"\n",
+ "print\"The centre of gravity is\",round(Y_bar,2),\"cm\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The centre of gravity is 4.19 cm\n",
+ "The centre of gravity is 7.64 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 1.5,Page no.11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Initilization of variables\n",
+ "\n",
+ "#Circle-1 \n",
+ "a_1=100*pi #cm**2\n",
+ "x_1=10 #cm\n",
+ " \n",
+ "#Square-2 \n",
+ "a_2=50 #cm**2\n",
+ "x_2=15 #cm\n",
+ " \n",
+ "#Calculation\n",
+ "\n",
+ "X_bar=(a_1*x_1-a_2*x_2)*(a_1-a_2)**-1 #cm\n",
+ "\n",
+ "\n",
+ "#Result\n",
+ "print\"The centre of gravity is\",round(X_bar,2),\"cm\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The centre of gravity is 9.05 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 1.6,Page no.12\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#intilization of variables \n",
+ "\n",
+ "#Rectangle-1\n",
+ "a_1=51200 #mm**2 \n",
+ "x_1=160 #mm\n",
+ "y_1=80 #mm\n",
+ "\n",
+ "#Triangle-2\n",
+ "a_2=6400 #mm**2\n",
+ "x_2=80*3**-1 #mm\n",
+ "y_2=320*3**-1 #mm\n",
+ "\n",
+ "#Semicircle-3\n",
+ "a_3=1250*pi #mm**2\n",
+ "x_3=210 #mm\n",
+ "y_3=(160-(4*50-(3*pi)**-1)) #mm\n",
+ "\n",
+ "\n",
+ "#Calculation\n",
+ "\n",
+ "X_bar=(a_1*x_1-a_2*x_2-a_3*x_3)*(a_1-a_2-a_3)**-1 #mm\n",
+ "Y_bar=(a_1*y_1-a_2*y_2-a_3*y_3)*(a_1-a_2-a_3)**-1 #mm\n",
+ "\n",
+ "#Result\n",
+ "print\"The centroid of the given area is\",round(X_bar,2),\"mm\"\n",
+ "print\"The centroid of the given area is\",round(Y_bar,2),\"mm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The centroid of the given area is 176.07 mm\n",
+ "The centroid of the given area is 87.34 mm\n"
+ ]
+ }
+ ],
+ "prompt_number": 27
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem 1.8,Page no.12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Initilization of variables\n",
+ "\n",
+ "\n",
+ "alpha=pi/2 #degree #In case of semicircle\n",
+ "\n",
+ "#Semicircle-1\n",
+ "r_1=20 #cm #radius of semicircle \n",
+ "y_1=4*r_1*(3*pi)**-1 #cm #distance from the base\n",
+ "a_1=(pi*r_1**2)*2**-1 #cm**2 #area of semicircle\n",
+ "\n",
+ "#Semicircle-2\n",
+ "r_2=16 #cm #radius of semicircle\n",
+ "y_2=4*r_2*(3*pi)**-1 #cm #distance from the base\n",
+ "a_2=(pi*r_2**2)*2**-1 #cm**2 #area of semicircle\n",
+ "\n",
+ "#Calculations\n",
+ "\n",
+ "\n",
+ "Y_bar=(a_1*y_1-a_2*y_2)*(a_1-a_2)**-1 #cm #centroid\n",
+ "\n",
+ "\n",
+ "#Result\n",
+ "print\"The centroid of the area is \",round(Y_bar,2),\"cm\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The centroid of the area is 11.51 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Problem no1.12,Page no.16"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#Initilization of variables\n",
+ "\n",
+ "#Right Circular Cyclinder\n",
+ "#m_1=(16*pi*h*rho_1) #gm \n",
+ "#y_1=4+h*2**-1 #cm\n",
+ "\n",
+ "#Hemisphere\n",
+ "#m_2=256*pi*rho_1 #gm \n",
+ "y_2=2.5 #cm \n",
+ "\n",
+ "Y_bar=4 #cm\n",
+ "r=4 #cm\n",
+ "\n",
+ "#Calculation\n",
+ "\n",
+ "#Y_bar=(m_1*y_1+m_2*y_2)*(m_1+m_2)**-1 #cm #Centroid\n",
+ "h=(402.114*25.132**-1)**0.5\n",
+ "\n",
+ "#Result\n",
+ "print\"The value of h is\",round(h,2),\"cm\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The value of h is 4.0 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |