Two identical balls are attached to the ends of a light rod

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

Problem

Two identical

0.40\,\text{kg}

balls are attached to the ends of a light

1.2\,\text{m}

rod, forming a dumbbell that rotates in a horizontal plane about a frictionless vertical axle through its center. The dumbbell spins at

3.0\,\text{rad/s}

. One ball suddenly slides along the rod and locks in place

0.20\,\text{m}

from the axle, while the other ball remains

0.60\,\text{m}

from the axle. Find the new angular speed of the system.