Can u help me with this guys please If u dont know please dont give me this ques

Question

Can u help me with this guys please If u dont know please dont give me this question missing anything Thanks Using the complex number approach, analyze the mechanism shown. (a) Determine the series of scalar equations which must be used to solve for the follower (Link 3) velocity and acceleration assuming that the distance AB the offset D, the angular position , angular velocity co, and angular acceleration , of Link 2 is known. (Bor each equation in the answer) (b) If AB = 0.60 inches, D = 0.25 inches, = 25°, and Link 2 is known to be rotating clockwise at a constant rate of 40 rad/sec, determine the velocity and acceleration of the follower. velocity = Acceleration- Pin on Link 2 nides in slor of Lick 3)

Explanation / Answer

a. from the diagram

vertical displacement of the follower, y = ABsin(theta)

dy/dt = ABcos(theta)*d(theta)/dt

now, d(theta)/dt = w

hence

vy = AB*cos(theta)*w

and

differentiating again

ay = -AB*sin(theta)*w^2 + AB*cos(theta)*alpha

ay = AB(alpha*cos(theta) - w^2*sin(theta))

b. AB = 0.6 inches

theta = 25 deg

w = -40 rad/s ( decreasing theta , so -ve w)

alpha = 0

hence

vy = 0.6*cos(25)*(-40) = -21.751 in/s

ay = -0.6*sin(25)*1600 = -405.713 in/s/s

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