Four small objects each of mass m are fixed at the comers of a rectangular wire-frame of negligible mass and of sides a and `b (a gt b )`. If the wire frame is now rotated about an axis passing along the side of length b, then the moment of inertia of the system for this axis of rotation is

Options

A. `2ma^(2)`
B. `4ma^(2)`
C. `2m(a^(2)+b^(2))`
D. `2m(a^(2)-b^(2))`

Answer

A

Explanation

Moment of inertia of a rectangular wire frame about an axis passing through along the side b.

`I=ma^(2)+0+ma^(2)+0=2ma^(2)`