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Four point masses, each of mass m, are f...

Four point masses, each of mass m, are fixed at the corners of a square of side l. The square is rotating with angular frequency `omega`, about an axis passing through one of the corners of the square and parallel to its diagonal , as shown, Torque about this axis is :

A

`ml^(2)omega`

B

`4 ml^(2) omega`

C

`3 ml^(2) omega`

D

`2 ml^(2) omega`

Text Solution

Verified by Experts

The correct Answer is:
C

`I=m(0)^(2)+m((l)/(sqrt(2)))^(2)xx2+m(sqrt(2)l)^(2)`
= `(2ml^(2))/(2)+2ml^(2)=3ml^(2)`
Angular momentum `L=I omega`
= `3ml^(2) omega` .
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