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A rod of length L is held vertically on ...

A rod of length `L` is held vertically on a smooth horizontal surface. The top end of the rod is given a gentle push. At at certain instant of time, when the rod makes an angle `37^@` with horizontal the velocity of `COM` of the rod of `2m//s`. The velocity of the end of the rod in contact with the surface at that instant is

A

`2ms^(-1)`

B

`1ms^(-1)`

C

`4ms^(-1)`

D

`1.5ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
C is instantaneous centre of rotation
`omegaL/2costheta=v_0`

`omegaL/2sintheta=vimpliesv=v_0tantheta`
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