Meriam, Kraige & Bolton — Plane Kinetics of Rigid Bodies: Problem 6_92

6/92 The velocity of the 8-kg cylinder is 0.3 m/s at a certain instant. What is its speed $v$ after dropping an additional 1.5 m? The mass of the grooved drum is 12 kg, its centroidal radius of gyration is $\bar{k} = 210$ mm, and the radius of its groove is $r_i = 200$ mm. The frictional moment at $O$ is a constant $3 \text{ N}\cdot\text{m}$.