Question

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.
A. `ML^(2)`/4
B. `ML^(2)`/2
C. `ML^(2)`
D. `2ML^(2)`

Answer 1

Correct Answer - b
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)`