A uniform thin ring has mass and radius

PHYSICS · Single correct · A Level · Physics · Engineering physics · Engineering physics

Problem

A uniform thin ring has mass

1.2\,\text{kg}

and radius

0.15\,\text{m}

. An engineer must locate an axis perpendicular to the plane of the ring such that the rotational inertia about that axis does not exceed

0.050\,\text{kg}\cdot\text{m}^2

. What is the greatest distance

d

from the center of the ring at which the axis can be placed? (a)

0.12\,\text{m}

(b)

0.21\,\text{m}

(c)

0.14\,\text{m}

(d)

0.17\,\text{m}