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A uniform rod of length l, mass m, cross...

A uniform rod of length `l`, mass `m`, cross-sectional area `A` and Young's modulus `Y` is rotated in horizontal plane about a fixed vertical axis passing through one end, with a constant angular velocity `omega`. Find the total extension in the rod due to the tension produced in the rod.

A

`(2m omega^(2)l^(2))/(3AY)`

B

`(m omega^(2)l^(2))/(AY)`

C

`(m omega^(2)l^(2))/(3 AY)`

D

`(5 m omega^(2) l^(2))/(48 AY)`

Text Solution

Verified by Experts

The correct Answer is:
C
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