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Four rods of equal length l and mass m e...

Four rods of equal length `l` and mass m each forms a square as shown in figure
Moment of inertia about three axes 1,2 and 3 are say `I_(1),I_(2) and I_(3)`. Then, match the following columns

`{:(,"Column-I",,"Column-II"),("(A)",I_(1),"(p)",(4)/(3)ml^(2)),("(B)",I_(2),"(q)",(2)/(3)ml^(2)),("(C)",I_(3),"(r)",(1)/(2)ml^(2)),(,,"(s)","None"):}`

Text Solution

Verified by Experts

The correct Answer is:
`(A rarr q,B rarr s, C rarr q)`

`I_(1)=2((ml^(2))/(12))+2(m)((l)/(2))^(2)=(2)/(3)ml^(2)`
`I_(2)=0+2((ml^(2))/(3))+ml^(2)=((5)/(3))ml^(2)`
`I_(3)=4p[(ml^(2))/(3)sin^(2) 45^(@)]=(2)/(3)ml^(2)=I_(1)`
Note `l_(1)=l_(2)` (think why ?)
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