97. If the body’s center of mass were not placed on the rotational axis of the turntable, how would the person’s measured moment of inertia compare to the moment of inertia for rotation about the center of mass? (a) The measured moment of inertia would be too large; (b) the measured moment of inertia would be too small; (c) the two moments of inertia would be the same; (d) it depends on where the body’s center of mass is placed relative to the center of the turntable.

Moment of inertia is a quantity of a body’s tendency to resist angular acceleration, which is equal to the sum of the products of the mass of each particle with the square of its distance from the axis of rotation.

By parallel axis theorem, the moment of inertia about axis through the point P can be written as $I_p=I_{cm}+M{d}^2$where $I_{cm}$is the moment of inertia about center of mass and d is the distance from center of mass to the point P.

When the body is rotated about the center of mass, the moment of inertia is minimum that is $d=0\mathrm{then}{I}_p=I_{cm}$.

Thus, when compare the measured moment of inertia to the moment of inertia for rotation about the center of mass, the measured moment of inertia would be too large.

Hence, option (a) is correct.