A thin hoop of mass and radius is to be spun about an axis parallel to its central…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A thin hoop of mass

0.50\,\text{kg}

and radius

0.30\,\text{m}

is to be spun about an axis parallel to its central axis but displaced sideways. If the desired rotational inertia about the displaced axis is

0.070\,\text{kg}\,\text{m}^2

, determine how far the new axis must be from the hoop’s center.