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In the figure shown, the instantaneous s...


In the figure shown, the instantaneous speed of end A of the rod is v to the left. Find angular velocity of the rod at given instant.

A

`v/(2L)`

B

`v/L`

C

`(vsqrt(3))/(2L)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

The velocities of the ends `A` and `B` along the length of rod should be the same.
Hence `v_(A)cos30^@=v_(B)cos30^@implies v_(A)=v_(B)=v`
Hence the angular velocity of the rod is
`omega=((v_(AB))_(_|_))/l=(2vsin30^@)/limpliesomega=v/l`
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