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{
"metadata": {
"name": "chapter 1.ipynb"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 1:Coplanar Concurrent Force System"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Problem 1,Page No.3"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#Declaration of Variables\n",
"\n",
"F1=1200 #N #Force1\n",
"F2=400 #N #Force2\n",
"\n",
"#Calculations\n",
"\n",
"theta=arctan(300*400**-1)*(180*pi**-1)\n",
"\n",
"#Components of F1\n",
"F1x=-F1*sin(theta*180**-1*pi) #N\n",
"F1y=-F1*cos(theta*180**-1*pi) #N\n",
"\n",
"#Components of F2\n",
"F2x=F2*cos(theta*180**-1*pi) #N\n",
"F2y=-F2*sin(theta*180**-1*pi) #N\n",
"\n",
"#Results\n",
"print\"Components of F1 is:F1x\",round(F1x,2),\"N\"\n",
"print\" :F1y\",round(F1y,2),\"N\"\n",
"print\"Components of F1 is:F2x\",round(F2x,2),\"N\"\n",
"print\" :F2y\",round(F2y,2),\"N\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Components of F1 is:F1x -720.0 N\n",
" :F1y -960.0 N\n",
"Components of F1 is:F2x 320.0 N\n",
" :F2y -240.0 N\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Problem 1,Page No.4"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#Declaration of Variables\n",
"\n",
"#Forces\n",
"F1=300 #N\n",
"F2=390 #N\n",
"F3=400 #N\n",
"\n",
"#Angles\n",
"theta1=30 #Degree\n",
"theta2=arctan(12*5**-1)*(180*pi**-1) #Degree\n",
"theta3=40 #Degree\n",
"\n",
"#Calculations\n",
"\n",
"#Components of F1\n",
"F1x=F1*cos(theta1*pi*180**-1) #N\n",
"F1y=-F1*sin(theta1*pi*180**-1) #N\n",
"\n",
"#Components of F2\n",
"F2x=-F2*cos(theta2*pi*180**-1) #N\n",
"F2y=F2*sin(theta2*pi*180**-1) #N\n",
"\n",
"#Components of F3\n",
"F3x=-F3*cos(theta3*pi*180**-1) #N\n",
"F3y=-F3*sin(theta3*pi*180**-1) #N\n",
"\n",
"#Result\n",
"print\"Components of F1 is:F1x\",round(F1x,2),\"N\"\n",
"print\" :F1y\",round(F1y,2),\"N\"\n",
"print\"Components of F2 is:F2x\",round(F2x,2),\"N\"\n",
"print\" :F2y\",round(F2y,2),\"N\"\n",
"print\"Components of F3 is:F2x\",round(F3x,2),\"N\"\n",
"print\" :F3y\",round(F3y,2),\"N\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Components of F1 is:F1x 259.81 N\n",
" :F1y -150.0 N\n",
"Components of F2 is:F2x -150.0 N\n",
" :F2y 360.0 N\n",
"Components of F3 is:F2x -306.42 N\n",
" :F3y -257.12 N\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Problem 3,Page No.4"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#Declaration of Variables\n",
"\n",
"#Forces\n",
"F1=20 #N\n",
"F2=60 #N\n",
"\n",
"theta1=20 #Degree\n",
"theta2=25 #Degree\n",
"\n",
"#Calculations\n",
"\n",
"#Resultant\n",
"\n",
"R=(F1**2+F2**2+2*F1*F2*cos(theta2*pi*180**-1))**0.5 #N\n",
"\n",
"X=(F1*(sin(theta2*180**-1*pi)))\n",
"Y=((F1+F2*(cos(theta2*pi*180**-1))))\n",
"alpha=arctan(X*Y**-1)*(180*pi**-1)\n",
"\n",
"#Inclination with x axis\n",
"alpha2=theta1+alpha\n",
"\n",
"#Result\n",
"print\"Resultant of two forces is\",round(alpha2,2),\"degree\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Resultant of two forces is 26.48 degree\n"
]
}
],
"prompt_number": 28
}
],
"metadata": {}
}
]
}
|
