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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 x-axis, and the body moves such that velocities of points P and R are Vp and Vr, in the x and y directions, respectively. The magnitude of the angular velocity of the body is

1. 2Vr
2. 2Vp
3. Vr/√3
4. Vp/√3

Correct answer: 2Vr

Solution

The angular velocity of a rigid body can be determined by the relationship between the linear velocities of its points and the distance from the axis of rotation. In this case, since edge QR is parallel to the x-axis and the body is moving, the angular velocity is twice the velocity of point R (2Vr) due to the geometry of the triangle and the distribution of velocities.

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