GATE ME 2018 Set 2 — Question 40
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Engineering Mechanics → Dynamics → Instantaneous Center of Rotation
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Question
A rigid rod of length is resting at an angle as shown in the figure. The end P is dragged with a velocity of to the right. At the instant shown, the magnitude of the velocity (in ) of point Q as it moves along the wall without losing contact is

Correct answer
(A) 5
Solution
Let the coordinates of P be and Q be . The length of the rod is constant: .
Differentiating with respect to time :
Given and (since is decreasing):
At , . Therefore:
.
Differentiating with respect to time :
Given and (since is decreasing):
At , . Therefore:
.
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