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# rcc02007 / me5180_numerical

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 t=linspace(0,2*pi/50,100); # create time varying from 0-0.126 s (or one period) x=20*sin(50*t);dx=20*50*cos(50*t); # define x and dx/dt in terms of time (note dx=dx/dt) t1=0.2*pi*cos(50*t); dt1=-10*pi*sin(50*t); # define theta1 (t1) and dtheta1/dt t2=0.2*pi*sin(50*t-pi/3); dt2=10*pi*sin(50*t-pi/3); # define theta2 (t2) and dtheta2/dt; L1=1;L2=1.5; # set lengths for L1 and L2 (none were given in problem so 1 and 1.5 mm were # chosen arbitrarily rcc=[x+L1*sin(t1);-L1*cos(t1)]; # position of connection between links rco=[x+L1*sin(t1)+L2*sin(t2);-(L1*cos(t1)+L2*cos(t2))]; # create a row vectors of # x-component and y-component of # pendulum position C (r_C/O) vco=[dx+L1*cos(t1).*dt1+L2*cos(t2).*dt2;(L1*sin(t1).*dt1+L2*sin(t2).*dt2)]; # create row # vectors of # the x- and # y-component # velocity of # point C figure(1) plot(t,vco(1,:),t,vco(2,:)) xlabel('time (s)') ylabel('velocity (mm/s)') legend('x-component','y-component') title('Velocity of end point')
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