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An L shaped thin uniform rod of total le...

An `L` shaped thin uniform rod of total length `2l` is free to rotate in a vertical plane about a horizontal axis a `P` as shown in the figure. The bas is released from rest. Neglect air and contact friction. The angular velociyt at the instant it has rotated through `90^@` and reached the dotted position shown is

A

zero

B

`sqrt((6g)/(5l))`

C

`sqrt((3g)/(5l))`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Moment of inertia of the system of rods about P:
`I=((ml^2)/3)+[(ml^2)/12+(m5l^2)/4]=5/3ml^2`

Loss in PE=Gain in `KE`
`mgl/2+mgl/2=1/2Iomega^2impliesomegasqrt((6g)/(5l)`
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