Problem

The uniform disk A, of mass mA = 1.2 kg and radius rA= 0.25 m, is mounted on a vertical sh...

The uniform disk A, of mass mA = 1.2 kg and radius rA= 0.25 m, is mounted on a vertical shaft that can translate along the horizontal guide C. The uniform disk B, of mass mB = 0.85 kg and radius rB = 0.38 m, is mounted on a fixed vertical shaft. Both disks A and B can rotate about their own axes, namely, ℓA and ℓB, respectively. Disk A is initially spun with ωA = 1000 rpm and then brought into contact with B, which is initially stationary. The contact is maintained via a spring, and due to friction between A and B, disk B starts spinning and eventually A and B will stop slipping relative to one another. Neglecting any friction except at the contact between the two disks, determine the angular velocities of A and B when slipping stops.