Meriam, Kraige & Bolton — Kinetics of Systems of Particles: Problem 4_15

4/15 The three small spheres are welded to the light rigid frame which is rotating in a horizontal plane about a vertical axis through \( O \) with an angular velocity \( \dot{\theta} = 20 \text{ rad/s} \). If a couple \( M_O = 30 \text{ N}\cdot\text{m} \) is applied to the frame for 5 seconds, compute the new angular velocity \( \dot{\theta}' \).