The instantaneous velocity of point B of the given rod of length 0 . 5 m is 3 m s - 1 in the represented direction. The angular velocity of the rod for the minimum velocity of the end A is

Question

The instantaneous velocity of point B of the given rod of length 0 . 5 m is 3 m s - 1 in the represented direction. The angular velocity of the rod for the minimum velocity of the end A is, 1 . 5 rad s - 1, 5 . 2 rad s - 1, 2 . 5 rad s - 1, None of these

MARKS App · Accepted Answer

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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