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ajime
21.05.2020 •
Computers and Technology
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Ответ:
A code was used to plot the path of of tip A in x and y coordinates for 0 ≤ t ≤ 4s. and the velocity V = 1.25π = 3.925 m/s for acceleration = 4.33 m/s
Solution
Given that:
(a) r = 3 ++ 0.5cos(4θ)
r = dr/dt = - 0.5 xy sin(4θ)
r = - 2 sin (4θ)
(b) t=0:0.01:3;
theta=-(.*t.^2/4)+(π.*t);
r=3+0.5.*cos(4.*theta);
x=r.*cos(theta);
y=r.*sin(theta);
plot(t,x,t,y)
xlabel('time')
ylabel('x & Y')
legend('X','Y')
Note: Kindly find an attached work solution for option A below, with the full complete question to this exercise.
Complete question: Robots with telescoping arms are sometimes used to perform tasks (e.g., welding or placing screws) where access may be difficult for other robotic types. During a test run, a robot arm is programmed to extend according to the relationship r = 3 + 0.5cos(4θ) and the arm rotates according to the relationship θ=−π4t2+πt ,where r is in feet, θ is in radians, and t is in seconds. (a) Determine the velocity and acceleration of the robot tip A at t = 3 s.(b) Use a computer program to plot the path of tip A in x and y coordinates for 0 ≤ t ≤ 4s.