A lump of clay travels horizontally at and sticks to the rim of a thin hoop (

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

0.40\,\text{kg}

lump of clay travels horizontally at

4.0\,\text{m/s}

and sticks to the rim of a thin hoop (

0.50\,\text{kg}

, radius

0.30\,\text{m}

) that is free to rotate about its central axle and is initially at rest. Calculate the hoop’s angular speed immediately after the collision.