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+{
+"cells": [
+ {
+		   "cell_type": "markdown",
+	   "metadata": {},
+	   "source": [
+       "# Chapter 6: Force and Motion ll"
+	   ]
+	},
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 6.1: Sample_Problem_1.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"//Given that\n",
+"mu_k = 0.6\n",
+"d = 290  //in meter\n",
+"g = 9.8 //in m/s^2\n",
+"v_final = 0\n",
+"\n",
+"//Sample Problem 6-1\n",
+"printf('**Sample Problem 6-1**\n')\n",
+"//using newton's 3rd equation of motion\n",
+"ac = - mu_k * g  //due to friction hence a negative sign\n",
+"v_initial = sqrt(v_final^2 - 2 * ac * d)\n",
+"printf('The inital velocity of that car would have been %f m/s', v_initial)"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 6.2: Sample_Problem_2.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"exec('degree_rad.sci',-1)\n",
+"\n",
+"//GIven that\n",
+"g = 9.8  //in /s^2\n",
+"mass = 75  //in kg\n",
+"mu_k = 0.10\n",
+"phi = dtor(42)\n",
+"\n",
+"//Sample Problem 6-2a\n",
+"printf('**Sample Problem 6-2a**\n')\n",
+"//T * cos(phi)- mu_k * N = 0\n",
+"//T * sin(phi) + N = mass * g\n",
+"mat_A = [cos(phi),-mu_k;sin(phi),1]\n",
+"mat_B = [0 ;mass * g]\n",
+"F = inv(mat_A) * mat_B\n",
+"printf('The Tension in the string is %f N\n', F(1))\n",
+"\n",
+"//Sample Problem 6-2b\n",
+"printf('\n**Sample Problem 6-2b**\n')\n",
+"printf('The force of friction will not change')"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 6.3: Sample_Problem_3.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"exec('degree_rad.sci',-1)\n",
+"\n",
+"//Given that\n",
+"theta = dtor(13)\n",
+"\n",
+"//Sample Problem 6-3\n",
+"printf('**Sample Problem 6-3**\n')\n",
+"//N = mg cos(theta)\n",
+"//f_s = mg sin(theta)\n",
+"//dividing->\n",
+"//f_s/N = tan(theta)\n",
+"mu_s = tan(theta)\n",
+"printf('The value of coefficient of static friction is %f', mu_s)"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 6.4: Sample_Problem_4.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"//Given that\n",
+"v1 = 97  //in km/hr\n",
+"//Assuming\n",
+"A1 = 1 \n",
+"//therefore\n",
+"A2 = 2\n",
+"\n",
+"//Sample Problem 6-4\n",
+"printf('**Sample Problem 6-4**\n')\n",
+"//the terminal velocity is inversly proportional to squre root of area\n",
+"v2 = v1 * sqrt(A1/A2)\n",
+"printf('The final velocity of cat will be %f km/hr', v2)"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 6.5: Sample_Problem_5.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"//Given that\n",
+"g = 9.8  //in m/s^2\n",
+"Radius = 1.5 * 10^-3  //in meter\n",
+"height = 1200  //in meter\n",
+"C_drag = 0.60\n",
+"density_water = 1000  //in kg/m^3\n",
+"density_air = 1.2  //in kg/m^3\n",
+"\n",
+"//Sample Problem 6-5a\n",
+"printf('**Sample Problem 6-5a**\n')\n",
+"//v_t = sqrt(2*F_g/(C*density*A))\n",
+"volume_drop = 4/3*%pi*Radius^3\n",
+"mass_drop = density_water *volume_drop\n",
+"Area_drop = %pi *Radius^2\n",
+"v_terminal = sqrt(2*mass_drop*g/(C_drag*density_air*Area_drop))\n",
+"printf('The terminal velocity will be %f m/s\n', v_terminal)\n",
+"\n",
+"//Sample Problem 6-5b\n",
+"printf('\n**Sample Problem 6-5b**\n')\n",
+"v_without_drag = sqrt(2 *g * height)\n",
+"printf('The velocity just before the impact if there were no drag force would be %f m/s', v_without_drag)"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 6.6: Sample_Problem_6.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"//Given that\n",
+"Radius_earth = 6.37 * 10^6\n",
+"h_alti = 520 * 10^3  //in meter\n",
+"velocity = 7.6 * 10^3  //in m/s converted from km/s\n",
+"mass = 79  //in kg\n",
+"\n",
+"//Sample Problem 6-6a\n",
+"printf('**Sample Problem 6-6a**\n')\n",
+"acce = velocity^2/(h_alti + Radius_earth)\n",
+"printf('The acceleration is equal to %f m/s^2\n', acce)\n",
+"\n",
+"//Sample Problem 6-5b\n",
+"printf('\n**Sample Problem 6-6b**\n')\n",
+"Force_total  = mass * acce\n",
+"printf('The net force is equal ro %f N', Force_total)"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 6.7: Sample_Problem_7.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"//Given that\n",
+"g = 9.8  //in m/s^2\n",
+"Radius = 2.7  //in meter\n",
+"\n",
+"//Sample Problem 6-7\n",
+"printf('**Sample Problem 6-7**\n')\n",
+"//The velocity at highest point is equal to sqrt(gR)\n",
+"velocity_topmost = sqrt(g * Radius)\n",
+"printf('The velocity of ball at the topmost point would be %f m/s', velocity_topmost)"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 6.8: Sample_Problem_8.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"//Given that\n",
+"g = 9.8  //in m/s^2\n",
+"R = 2.1  //in m\n",
+"mu_s = 0.40\n",
+"\n",
+"//Sample Problem 6-8a\n",
+"printf('**Sample Problem 6-8a**\n')\n",
+"//N = mv^2/R\n",
+"//mg = mu_s * N\n",
+"//mg = mu_s * m*v^2/R\n",
+"//v = sqrt(g*R/mu_s)\n",
+"v_min = sqrt(g*R/mu_s)\n",
+"printf('The minimum spped of the cylender should be %f m/s\n', v_min)\n",
+"\n",
+"//Sample Problem 6-8b\n",
+"printf('\n**Sample Problem 6-8b**\n')\n",
+"mass = 49  //in kg\n",
+"c_force = mass * v_min^2/R\n",
+"printf('The Centripetal force on the rider would be %f N', c_force)"
+   ]
+   }
+,
+{
+		   "cell_type": "markdown",
+		   "metadata": {},
+		   "source": [
+			"## Example 6.9: Sample_Problem_9.sce"
+		   ]
+		  },
+  {
+"cell_type": "code",
+	   "execution_count": null,
+	   "metadata": {
+	    "collapsed": true
+	   },
+	   "outputs": [],
+"source": [
+"//Given that\n",
+"g = 9.8  //in m/s^2\n",
+"mass = 1600  //in kg\n",
+"v_cons = 20  //in m/s\n",
+"R_track = 190  //in meter\n",
+"\n",
+"//Sample Problem 6-9\n",
+"printf('**Sample Problem 6-9**\n')\n",
+"N = mass * g\n",
+"f_s = mass * v_cons^2 /R_track\n",
+"mu_s = f_s/N\n",
+"printf('The coefficient of static friction for the given surface is %f', mu_s)"
+   ]
+   }
+],
+"metadata": {
+		  "kernelspec": {
+		   "display_name": "Scilab",
+		   "language": "scilab",
+		   "name": "scilab"
+		  },
+		  "language_info": {
+		   "file_extension": ".sce",
+		   "help_links": [
+			{
+			 "text": "MetaKernel Magics",
+			 "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+			}
+		   ],
+		   "mimetype": "text/x-octave",
+		   "name": "scilab",
+		   "version": "0.7.1"
+		  }
+		 },
+		 "nbformat": 4,
+		 "nbformat_minor": 0
+}