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A thin uniform rod AB is sliding between...

A thin uniform rod `AB` is sliding between two fixed right angled surfaces. At some instant its angular velocity is `omega`. If `I_(x)` represent moment of inertia of the rod about an axis perpendicualr to the plane and passing through the point `X(A,B,C, or D)`, the kinetic energy of the rod is

A

`(1)/(2)I_(A)omega^(2)`

B

`(1)/(2)I_(B)omega^(2)`

C

`(1)/(2)I_(C)omega^(2)`

D

`(1)/(2)I_(D)omega^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
(Tough) The point `D` is the instantaneous centre of rotation.
`K.E. =(1)/(2)I_(D) omega^(2)=(1)/(2)I_(A)omega^(2)=(1)/(2)I_(B)omega^(2)`
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