A student on a frictionless rotatable stool (moment of inertia

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A student on a frictionless rotatable stool (moment of inertia, without the object,

I_{s}=2.5\,\text{kg}\cdot\text{m}^2

) holds a

1.0\,\text{kg}

ball

0.80\,\text{m}

from the rotation axis. Initially both are at rest. The student releases the ball by giving it a purely tangential speed of

3.0\,\text{m}\!\cdot\!\text{s}^{-1}

relative to the ground. Neglect external torques. Determine the student’s angular speed immediately after the ball leaves her hand.