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A rigid massless rod of length 3l has tw...

A rigid massless rod of length `3l` has two masses attached at each end as shown in the figure. The rod is pivoted at point P on the horizontal axis (see figuare). When released from initial horizontal position, its instantaneous angular acceleration will be

A

`q/31`

B

`q/(13 I)`

C

`q/(2I`

D

`(7q)/(3l)`

Text Solution

Verified by Experts

The correct Answer is:
B

`tau_(p) = I_(p) alpha rArr 5m_(0)gl - 4m_(0) gl = (5m_(0)I^(2) + 2m_(0)(2I)^(2)) alpha rArr alpha =(m_(0)gl)/(13m_(0)I^(2)) = g/(13 l)`
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