Question

QUESTION 1 Figure 1 shows a scissors mechanism used to lift the platform S. A inear actuator controls the roller at A to move with constant speed A1.5 f/s. Links AE and BD have length4 ft and are pinned together at their midpoint C. Determine the velocity and acceleration of the platform S at the configuration θ of the scissors mechanism. Use Matlab to compute and plot the speed of the platform, and its time rate of change, as the mechanism configuration varies in the range 10' 3 1.5 ft/s Figure 1: A platform S lifted by a scissors mechanism whose roller A moves with constant speed UA=1.5 ft/s

Only answer the matlab part. Thanks

Answer 1

diHererate rifir xespeet to time A-

2. 2 .2 Matlab VA 는다

clc;clear all;close all;
Va=1.5;L=4;
theta=(pi/10):0.01:(pi/3);
Vs=Va./tan(theta);
as=Va.^2./(L*(sin(theta)).^3);
figure(1)
plot(theta,Vs,'b')
xlabel('theta range between \pi/10 to \pi/3 in rad')
ylabel('Velocity of platform S in ft/sec')
figure(2)
plot(theta,as,'b')
xlabel('theta range between \pi/10 to \pi/3 in rad')
ylabel('Rate of change of speed of platform S in ft/sec^2 ')

5 4.5 4 s 3.5 2.5 1.5 1.1 0.5 0.3 0.70.80.9 0.6 0.5 0.4 theta range between π/10 to π/3 in rad

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