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diff --git a/Fundamental_Of_Physics_by_D_Haliday/10-Collisions.ipynb b/Fundamental_Of_Physics_by_D_Haliday/10-Collisions.ipynb new file mode 100644 index 0000000..acb6d68 --- /dev/null +++ b/Fundamental_Of_Physics_by_D_Haliday/10-Collisions.ipynb @@ -0,0 +1,216 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 10: Collisions" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 10.1: Sample_Problem_1.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"exec('degree_rad.sci',-1)\n", +"\n", +"//Given that\n", +"m = 140 * 10^-3 //in kg\n", +"Vi = -39 //in m/s\n", +"Vf = 39 //in m/s\n", +"\n", +"//Sample Problem 10-1a\n", +"printf('**Sample Problem 10-1a**\n')\n", +"//J = Pf - Pi\n", +"J = m *(Vf - Vi)\n", +"printf('The magnitude of impulse acted on the ball from bat is equal to %fN-s\n', J)\n", +"\n", +"//Sample Problem 10-1b\n", +"printf('\n**Sample Problem 10-1b**\n')\n", +"t = 1.20* 10^-3 //in sec\n", +"Favg = J/t\n", +"printf('The average force during the collision is %fN\n', Favg)\n", +"\n", +"//Sample Problem 10-1c\n", +"printf('\n**Sample Problem 10-1c**\n')\n", +"Vf = 45* [cos(dtor(30)), sin(dtor(30))]\n", +"Vi = [-39, 0]\n", +"J = m* (Vf - Vi)\n", +"printf('The magnitude of new inpulse is %fN-s\n', norm(J))\n", +"printf('The new impulse makes an angle of %f degress with the horizontal', rtod(atan(J(2)/ J(1))))" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 10.2: Sample_Problem_2.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"//Given that\n", +"M = 5.4 //in kg\n", +"m = 9.5* 10^-3 //in kg\n", +"g = 9.8 //in m/s^2\n", +"h = 6.3* 10^-2 //in meter\n", +"\n", +"//Sample Problem 10-2\n", +"printf('**Sample Problem 10-2**\n')\n", +"//Mechanical energy conservation-\n", +"//0.5*(M+m)*Va^2 = (M+m)*g*h\n", +"Va = sqrt(g*h/0.5)\n", +"//Momentum conservation for the collision\n", +"Vb = (M+m)*Va/m\n", +"printf('The velocity of the bullet before collision is %fm/s', Vb)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 10.3: Sample_Problem_3.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"//Given that\n", +"m1 = 0.70 //in kg\n", +"m = [0.14, 3.2] //in kg\n", +"k = [4.1* 10^4, 2.6* 10^6] //in N/m\n", +"d = [16* 10^-3, 1.1* 10^-3] //in meter\n", +"\n", +"//Sample Problem 10-3a\n", +"printf('**Sample Problem 10-3a**\n')\n", +"name = ['board', 'block']\n", +"U = zeros(2,1)\n", +"for count = 1:2\n", +" U(count) = 0.5* k(count)* d(count)^2\n", +" printf('The energy stored in %s is %fJ\n', name(count), U(count))\n", +"end\n", +"\n", +"//Sample Problem 10-3b\n", +"printf('\n**Sample Problem 10-3b**\n')\n", +"for count = 1:2\n", +" //Energy conservation\n", +" Vf = sqrt(U(count)/(0.5*(m1+m(count))))\n", +" //Momentum conservation\n", +" Vi = (m1 + m(count))*Vf/m1\n", +" printf('The minimum velocity required to break the %s is %fm/s\n', name(count), Vi)\n", +"end" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 10.4: Sample_Problem_4.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"exec('collision.sci', -1)\n", +"\n", +"//Given that\n", +"m1 = 30*10^-3 //in kg\n", +"h1 = 8*10^-2 //in m\n", +"m2 = 75*10^-3 //in kg\n", +"g = 9.8 //in m/s^2\n", +"e = 1\n", +"\n", +"//Sample Problem 10-4\n", +"printf('**Sample Problem 10-4**\n')\n", +"//velocity just before collision\n", +"Vi = zeros(1,2)\n", +"Vi(1) = sqrt(2*g*h1)\n", +"Vi(2) = 0\n", +"Vf= fsolve([0,0], collision)\n", +"printf('The velocity of m1 after collision is %fm/s', abs(Vf(1)))" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 10.5: Sample_Problem_5.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"//Given that\n", +"Ma = 83 //in kg\n", +"Va = [6.2, 0] //in km/h\n", +"Mb = 55 //in kg\n", +"Vb = [0, 7.8] //in km/h\n", +"\n", +"//Sample Problem 10-5a\n", +"printf('**Sample Problem 10-5a**\n')\n", +"Vf = (Ma*Va + Mb*Vb)/(Ma+Mb)\n", +"printf('The common velocity after the collision is %fm/s\n', norm(Vf))\n", +"\n", +"//Sample Problem 10-5b\n", +"printf('\n**Sample Problem 10-5**\n')\n", +"printf('The velocity of center of mass is not altered due to collision')" + ] + } +], +"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 +} |