The motion of rod AB , of length L, is constrained by two perpendicular guides a
ID: 1858081 • Letter: T
Question
The motion of rod AB, of length L, is constrained by two perpendicular guides as shown below. The velocity of end A is v and its acceleration is a. Find the velocity and acceleration of the end B, the angular velocity and the angular acceleration of the rod. Solve this problem in two different ways; one by setting up a constraint equation and also by using the velocity and acceleration equations for relative motion.
Answer can contain one or more of the following; L and ?.
Question was previously posted before being modified by professor.
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Explanation / Answer
velocity on the rod is zero due to constrained motion.
let vb is forcing right and va is forcing downward.
va sin theta = vb cos theta
Vb/Va= tan theta
Vb= Va than theta
accelration will also b same for unit time
ab= a than theta
and angular velocities will also be same
wb=wa L than theta