Two objects—a thin hoop and a solid disk—each have mass and radius

PHYSICS · Subjective · A Level · Physics · Engineering physics · Engineering physics

Problem

Two objects—a thin hoop and a solid disk—each have mass

1.0\,\text{kg}

and radius

0.20\,\text{m}

. For each object, the rotational inertia about an axis parallel to and

0.05\,\text{m}

from the central axis is measured:

I'_{\text{hoop}} = 0.050\,\text{kg}\cdot\text{m}^2

and

I'_{\text{disk}} = 0.035\,\text{kg}\cdot\text{m}^2

. Determine the rotational inertia of each object about its central axis and state which object has the greater value.