A thin hoop of mass and radius is mounted so it can rotate without friction about its…

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A thin hoop of mass

4.0\,\text{kg}

and radius

0.30\,\text{m}

is mounted so it can rotate without friction about its center. A

15\,\text{N}

force pulls tangentially clockwise at one point on the rim, while a

10\,\text{N}

force pulls tangentially counter-clockwise at a different point on the rim. What is the magnitude of the hoop’s angular acceleration? (a)

8.3\,\text{rad/s}^2

(b)

4.2\,\text{rad/s}^2

(c)

6.3\,\text{rad/s}^2

(d)

12\,\text{rad/s}^2