Meriam, Kraige & Bolton — Plane Kinetics of Rigid Bodies: Problem 6_53

6/53 Disk $B$ weighs $50\text{ lb}$ and has a centroidal radius of gyration of $8\text{ in.}$ The power unit $C$ consists of a motor $M$ and a disk $A$, which is driven at a constant angular speed of $1600\text{ rev/min}$. The coefficients of static and kinetic friction between the two disks are $\mu_s = 0.80$ and $\mu_k = 0.60$, respectively. Disk $B$ is initially stationary when contact with disk $A$ is established by application of the constant force $P = 3\text{ lb}$. Determine the angular acceleration $\alpha$ of $B$ and the time $t$ required for $B$ to reach its steady-state speed.