Question

Four point size bodies each of mass MM are fixed at four corners of a light square frame of side length LL.

In the above problem, the moment of inertia of four bodies about an axis perpendicular to the plane of frame and passing through a corner is:

• A. $M{L}^2$
• B. $2M{L}^2$
• C. $2\sqrt{2}M{L}^2$
• D. $4M{L}^2$

Answer 1

The correct option is D $4M{L}^2$

$I=\left(m{L}^2\right)+m{L}^2+m(\sqrt{2L}{)}^2$
$=4m{L}^2$