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The instantaneous velocity of point B of the given rod of length 0 . 5 m is 3 m s - 1 in the represented direction. What is the angular velocity (in rad s - 1 ) of the rod for the minimum possible magnitude of the velocity of the end A ?

Correct answer

5.2

Step-by-step solution

If rod is rotated about end A, then vertical component of velocity, v ⊥ of end a will be zero. ∴ ω = v sin ⁡ 60 o l = 3 v 2 l = 3 × 3 2 × 0.5 = 5.2 rad s - 1

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