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The moment of inertia of a system of fo...

The moment of inertia of a system of four rods each of length l and mass m about the axis shown is

A

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

B

2m`l^(2)`

C

3 m`l^(2)`

D

`8/3 ml^(2)`

Text Solution

Verified by Experts

d) Consider a square lamina, then
`4m(l^(2)/(12) + (l)^(2)/12)` about
Center of mass = `(2ml^(2))/(3)`
Apply perpendicualr axes theorem
`=(2ml^(2))/3 + 4m(l/sqrt(2))^(2) = 8/3 ml^(2)`
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