Rotational MotionHard

Question

For the same total mass which of the following will have the largest moment of inertia about an axis passing through its centre of mass and perpendicular to the plane of the body

Options

A.a disc of radius a
B.a ring of radius a
C.a square lamina of side 2a
D.four rods forming a square of side 2a

Solution

MI is more when mass is for away
Irods = dm × (2a)2 = M × 4a2
Iring = dm a2 = Ma2

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