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+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:5eef56b3be475b00ee38a435583334aab5002f35094b33b8b203b9f08b619d7c"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 6 : Friction"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 6.1 Page No : 115"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math \n",
+      "\t\t\t\n",
+      "# Variables\n",
+      "W = 100. \t\t\t#lb\n",
+      "Frictioncoefficient = 0.65\n",
+      "\t\t\t\n",
+      "# Calculations\n",
+      "A1 = math.degrees(math.atan(Frictioncoefficient))\n",
+      "\t\t\t\n",
+      "# Results\n",
+      "print  'Maximum Incliantion = %.f degrees'%(A1)\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Maximum Incliantion = 33 degrees\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 6.2 Page No : 115"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math \n",
+      "\t\t\t\n",
+      "# Variables\n",
+      "W = 100.     \t\t\t#lb\n",
+      "Frictioncoefficient = 0.40\n",
+      "x = 3.\n",
+      "y = 4.\n",
+      "\t\t\t\n",
+      "# Calculations\n",
+      "Fmax = (W*y/(math.sqrt(x**2+y**2)))+Frictioncoefficient*W*x/(math.sqrt(x**2+y**2))\n",
+      "Fmin =(W*y/(math.sqrt(x**2+y**2)))-Frictioncoefficient*W*x/(math.sqrt(x**2+y**2))\n",
+      " \t\t\t\n",
+      "# Results\n",
+      "print  'Fmin = %.f lb'%(Fmin)\n",
+      "print  'Fmax =%.f lb'%(Fmax)\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Fmin = 56 lb\n",
+        "Fmax =104 lb\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 6.3 Page No : 116"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math \n",
+      "from numpy import linalg\n",
+      "\t\t\t\n",
+      "# Variables\n",
+      "mus = 0.25\n",
+      "d = 0.5 \t\t\t#in\n",
+      "h = 3.   \t\t\t#in\n",
+      "\t\t\t\n",
+      "# Calculations\n",
+      "A = [[1, -1],[mus, mus]]\n",
+      "b = [0,1]\n",
+      "c = linalg.solve(A,b)\n",
+      "Na = c[0]\n",
+      "Nb = c[1]\n",
+      "d = -d*mus*Na+h*Na\n",
+      "\t\t\t\n",
+      "# Results\n",
+      "print  'minimu distance = %.2f in'%(d)\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "minimu distance = 5.75 in\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 6.4 Page No : 118"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math \n",
+      "\t\t\t\n",
+      "# Variables\n",
+      "Ft = 1000. \t\t\t#lb\n",
+      "a1 = 5. \t\t\t#degrees\n",
+      "mu = 0.30\n",
+      "\t\t\t\n",
+      "# Calculations\n",
+      "R1 = Ft/math.cos(a1+math.tan(mu))\n",
+      "F = R1*math.sin(a1)+math.tan(mu)+math.tan(mu)/math.sin(90-math.tan(mu))\n",
+      "\t\t\t\n",
+      "# Results\n",
+      "print  'Forec required to start wedge = %.f lb'%(F)\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Forec required to start wedge = -1705 lb\n"
+       ]
+      }
+     ],
+     "prompt_number": 9
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 6.5 Page No : 120"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\t\t\t\n",
+      "import math \n",
+      "\n",
+      "# Variables\n",
+      "W = 100. \t\t\t#lb\n",
+      "n1 = 1/2.\n",
+      "n2 = 3/2.\n",
+      "mus = 0.40\n",
+      "\t\t\t\n",
+      "# Calculations\n",
+      "Ts1 = W/(math.exp(mus*n1*2*math.pi))\n",
+      "Ts2 =  W/(math.exp(mus*n2*2*math.pi)) \n",
+      "\t\t\t\n",
+      "# Results\n",
+      "print  'Ts1 = %.2f lb'%(Ts1)\n",
+      "print  'Ts2 =%.2f lb'%(Ts2)\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Ts1 = 28.46 lb\n",
+        "Ts2 =2.31 lb\n"
+       ]
+      }
+     ],
+     "prompt_number": 10
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 6.6 Page No : 121"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math \n",
+      "from numpy import linalg\n",
+      "\t\t\t\n",
+      "# Variables\n",
+      "F = 20.\t\t\t#lb\n",
+      "L1 = 6. \t\t\t#in\n",
+      "L2 = 12. \t\t\t#in\n",
+      "L3 = 24. \t\t\t#in\n",
+      "mus = 0.60\n",
+      "\t\t\t\n",
+      "# Calculations\n",
+      "A =[[1,-math.exp(mus*math.pi)],[(L1+L2),(L1)]]\n",
+      "b =[0,F*(L1+L2+L3)]\n",
+      "c = linalg.solve(A,b)\n",
+      "TL = c[0]\n",
+      "Ts = c[1]\n",
+      "\t\t\t\n",
+      "# Results\n",
+      "print  'TL = %.2f lb'%(TL)\n",
+      "print  'Ts = %.2f lb'%(Ts)\n",
+      "\n",
+      "# note : answers are slightly different because of rounding off errors.\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "TL = 44.42 lb\n",
+        "Ts = 6.74 lb\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 6.7 Page No : 123"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math \n",
+      "\t\t\t\n",
+      "# Variables\n",
+      "d = 24. \t\t\t#in\n",
+      "mu = 0.05\n",
+      "W = 2000. \t\t\t#lb\n",
+      "\t\t\t\n",
+      "# Calculations\n",
+      "F = W*mu*2/d\n",
+      "\t\t\t\n",
+      "# Results\n",
+      "print  'F = %.2f lb'%(F)\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "F = 8.33 lb\n"
+       ]
+      }
+     ],
+     "prompt_number": 12
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 6.8 Page No : 124"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math \n",
+      "\t\t\t\n",
+      "# Variables\n",
+      "F = 800. \t\t\t#lb\n",
+      "muk = 0.10\n",
+      "Do = 5. \t\t\t#in\n",
+      "Di = 3. \t\t\t#in\n",
+      "\t\t\t\n",
+      "# Calculations\n",
+      "M = 2*muk*F*((Do/2)**3-(Di/2)**3)/(3*((Do/2)**2-(Di/2)**2))\n",
+      "\t\t\t\n",
+      "# Results\n",
+      "print  'M = %.f lb in'%(M)\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "M = 163 lb in\n"
+       ]
+      }
+     ],
+     "prompt_number": 13
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
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