Two masses each of mass M are attached t...

Two masses each of mass `M` are attached to the end of a rigid massless rod of length `L`. The moment of inertia of the system about an axis passing centre of mass and perpendicular to its length is.

`ML^(2)`/4

`ML^(2)`/2

`ML^(2)`

`2ML^(2)`

Verified by Experts

The correct Answer is:

The moment of inertia of the system about the given axis is
`I=M(L/2)^(2) + M(L/2)^(2)`
`=(ML^(2))/(4)+(ML^(2))/(4)=(ML^(2))/(2)`

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Two masses each of mass M are attached to the end of a rigid massless rod of length L . The moment of interia of the system about an axis passing centre of mass and perpendicular to its length is.

`(ML^2)/(4)`

`(ML^2)/(2)`

`ML^2`

`2 ML^2`

`(21)/(5)MR^(2)`

`(23)/(5)MR^(2)`

`(22)/(5)MR^(2)`

`(24)/(5)MR^(2)`

`(L)/(sqrt(2))`

`(L^2)/(sqrt(12))`

`(L)/(sqrt(3))`

`(L)/(sqrt(2))`