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diff --git a/Engineering_Physics_by_D_C_Ghosh/1-Classical_Mechanics.ipynb b/Engineering_Physics_by_D_C_Ghosh/1-Classical_Mechanics.ipynb new file mode 100644 index 0000000..26940df --- /dev/null +++ b/Engineering_Physics_by_D_C_Ghosh/1-Classical_Mechanics.ipynb @@ -0,0 +1,184 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 1: Classical Mechanics" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.10: Common_velocity_of_a_car_truck_system.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Scilab Code Ex1.10: : Page-14 (2008)\n", +"clc; clear;\n", +"m1 = 1200; // Mass of the car, kg\n", +"m2 = 3600; // Mass of the truck, kg\n", +"u1 = 30; // Speed of the car, m/s\n", +"u2 = 20; // Speed of the truck, m/s\n", +"theta = 60; // Direction of motion of the truck w.r.t. that of car, degree\n", +"// As m1*u1 + m2*u2 = (m1 + m2)*v, solving for v along x and y directions\n", +"v_x = (m1*u1 + m2*u2*cosd(theta))/(m1 + m2); // Common speed along x-direction, m/s\n", +"u1 = 0; // The speed of the car after interlocking with the truck, m/s\n", +"v_y = (m1*u1 + m2*u2*sind(theta))/(m1 + m2); // Common speed along y-direction, m/s\n", +"v = sqrt(v_x^2 + v_y^2); // Common speed of the car-truck system, m/s\n", +"theta = atand(v_y/v_x); // Direction of common velocity w.r.t. that of car, degree\n", +"printf('\nThe common speed of the car-truck system = %4.1f m/s', v);\n", +"printf('\nThe direction of common velocity = %4.1f degree north of east', theta);\n", +"// Result \n", +"// The common speed of the car-truck system = 19.8 m/s" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.11: Velocity_of_third_piece_of_the_exploded_object.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Scilab Code Ex1.11: Page-14 (2008)\n", +"clc; clear;\n", +"v1 = 20; // Velocity of first piece, m/s\n", +"v2 = 30; // Velocity of second piece, m/s\n", +"// From conservation of momentum, in x-direction \n", +"// m*v1*cosd(0)+m*v2*cosd(45)+m*v3*cosd(theta) = 0, solving for v3*cosd(theta)\n", +"v3_cos_theta = -(v1*cosd(0)+v2*cosd(45)); // x-component of v3 along theta, m/s\n", +"// From conservation of momentum, in y-direction \n", +"// m*v1*sind(0)-m*v2*sind(45)+m*v3*sind(theta) = 0, solving for v3*sind(theta)\n", +"v3_sin_theta = -(v1*sind(0)-v2*sind(45)); // y-component of v3 along theta, m/s\n", +"theta = atand(v3_sin_theta/v3_cos_theta); // Direction of velocity of third piece, degree\n", +"v3 = -(v1*cosd(0)+v2*cosd(45))/cosd(theta+180); // Velocity of third piece, m/s\n", +"printf('\nThe velocity of third piece is %4.1f m/s towards %d degree north of west', v3, ceil(theta+180));\n", +"// Result \n", +"// The velocity of third piece is 46.4 m/s towards 153 degree north of west " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.5: Force_of_contact_between_two_masses.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Scilab Code Ex1.5: Page-11 (2008)\n", +"clc; clear;\n", +"m1 = 2; // Mass of first body, kg\n", +"m2 = 1; // Mass of second body, kg\n", +"F = 3; // The horizontal force applied to the mass m1, N\n", +"F_prime = m2/(m1 + m2)*F; // Force of contact between m1 and m2, N\n", +"printf('\nThe force of contact between m1 and m2 = %3.1f N', F_prime);\n", +"F_prime = m1/(m1 + m2)*F; // Force of contact when F is applied to m2, N\n", +"printf('\nThe force of contact when F is applied to m2 = %3.1f N', F_prime);\n", +"// Result \n", +"// The force of contact between m1 and m2 = 1.0 N\n", +"// The force of contact when F is applied to m2 = 2.0 N " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.6: Direction_of_motion_of_a_ball_after_momentum_conservation_during_collision.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Scilab Code Ex1.6: Page-12 (2008)\n", +"clc; clear;\n", +"v = 1; // Let the speed of the ball B be unity, unit\n", +"v_prime = v/2; // Speed of the ball after the collision, unit\n", +"theta = atand(v_prime/v); // The direction of motion of the ball A after collision, degree\n", +"printf('\nThe direction of motion of the ball after collision = %2.0f degree', theta);\n", +"// Result \n", +"// The direction of motion of the ball after collision = 27 degree " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.9: Angular_velocity_of_the_combination_of_two_wheels.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Scilab Code Ex1.9: Page-14 (2008)\n", +"clc; clear;\n", +"omega1 = 500; // Angular speed of rotating shaft, r.p.m.\n", +"omega2 = 0; // Initial angular speed of the second wheel, r.p.m.\n", +"I = 1; // For simplicity assume moment of ineria of the wheels to be unity\n", +"I1 = I, I2 = I; // Moment of inertia of wheels A and B, kg-Sq.m\n", +"// As I1*omega1 + I2*omega2 = (I1 + I2)*omega, solving for omega\n", +"omega = (I1*omega1 + I2*omega2)/(I1 + I2); // Angular speed of the combination of two wheels, r.p.m.\n", +"printf('\nThe angular speed of the combination of two wheels = %3.0f r.p.m.', omega);\n", +"// Result \n", +"// The angular speed of the combination of two wheels = 250 r.p.m. " + ] + } +], +"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 +} |