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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. The angular velocity of the rod of length `L` must be

A

`v/2L`

B

`v/L`

C

`2v/L`

D

None of these

Text Solution

Verified by Experts


component of velocities of A and B along AB should be same
`thereforev_(A)cos30^(@)=v_(B)cos30^(@)`
`thereforev_(B)=v_(A)=v`
`omega=("relative velocity " bot "to" AB)/(AB)`
`=(v_(A)sin30^(@)+v_(B)sin30^(@))/(l)`
`=(v)/(l)` (as `v_(A)=v_(B)=v)`
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