Homework1-Solns-Complete

Homework1-Solns-Complete - ME 104 Engineering Mechanics II...

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% ME 104: Engineering Mechanics II % Solution to Homework 1: Problem 5 % Prepared by David A. Moody % Date: January 25, 2011 %-------------------------------------------------------------------------- % Main Code for Problem 5 close all ; clear all ; clc; L1=12; % distance to box [ft] L2=14; % distance to end of box [ft] h=-1/3; % vertical distance from starting point to box [ft] theta=30*pi/180; % given angle [radians] g=32.2; % gravity in [ft/s^2] T1=(2/g*(L1/(cot(theta))-h))^(1/2); % Time for particle to reach L1 [sec] T2=(2/g*(L2/(cot(theta))-h))^(1/2); % Time for particle to reach L2 [sec] vo1=((-g/2*L1^2/(cos(theta))^2)/(h- ... (sin(theta)*L1)/cos(theta)))^0.5; % initial velocity [ft/sec] vo2=((-g/2*L2^2/(cos(theta))^2)/(h- ... (sin(theta)*L2)/cos(theta)))^0.5; % initial velocity [ft/sec] t=linspace(0,T2,10); % time for plot [sec] vo=linspace(vo1, vo2,5); % initial velocity [ft/sec] % Calculating outputs for a range of initial velocity (vo) for i = 1:length(vo) x(:,i)=vo(i)*cos(theta)*t; % x(t) for various vo y1(:,i)=vo(i)*sin(theta)*t-g/2*t.^2; % y(t) for various vo y2(:,i)=sin(theta)*x(:,i)/cos(theta)-g/2*((x(:,i)./ ... (vo(i)*cos(theta)))).^2; % y(x) for various vo end %-------------------------------------------------------------------------- %Plots for Problem 5 subplot(3,1,1) plot(t,x) % Plot of X(t) title( 'ME 104: Homework 1, Problem 5' ) grid on ;
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