GATE ME 2019 Set 2 — Question 15
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Engineering Mechanics → Dynamics → Instantaneous Center of Rotation
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Question
A rigid triangular body, PQR, with sides of equal length of 1 unit moves on a flat plane. At the instant shown, edge QR is parallel to the -axis, and the body moves such that velocities of points P and R are and , in the and directions, respectively. The magnitude of the angular velocity of the body is
Correct answer
(A) 2V_R
Solution
1.Identify the Instantaneous Center of Rotation (ICR). The ICR is the intersection of lines perpendicular to the velocity vectors at points P and R.
2.Velocity at P () is in the -direction, so the perpendicular line is a vertical line passing through P ( if Q is at origin).
3.Velocity at R () is in the -direction, so the perpendicular line is a horizontal line passing through R ().
4.The intersection of and is the ICR, located at the midpoint of QR.
5.The distance from the ICR to point R is units.
6.The angular velocity is given by .
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