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Theory of Machines Miscellaneous

  1. 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. VP/ √3
    2. 2VR
    3. 2VP
    4. VR/ √3
Correct Option: B


2VP
=
2VR
= ωbody
3a

VP = √3VR (a = 1 unit)
ωbody = 2VR



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