Question
Dynamics Engineering Mechanics Gray 2nd edition 8.100
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 arm E. The uniform disk B, of mass mB=0.85 kg and radius rB = 0.18 m, is mounted on a vertical shaft that is rigidly attached to the arm E. Disk A can rotate about the axis lA, disk B can rotate about axis lB, and the arm E, along with disk C, can rotate about the fixed axis lC. Disk C has negligible mass and is rigidly attached to arm E so that rotate together. While keeping both B and C stationary, disk A is spun to wA = 1200 rpm. Disk A is then brought in contact with disk C (contact is maintained by a spring), and B and C (and the arm E) are then freely allowed to rotate. Due to friction between A and C, disks C( and arm E) and B start spinning. Eventually, A and C stop slipping relative to one another. Disk B always rotates without slip over C. Let D = 0.27+ m and w = 0.95 m. If the only elements of the system That have mass are A and B, and if all friction in the system can be neglected except for that between A and C and between C and B, determine the angular speed of A and C when they stop slipping relative to one anthor.
Explanation / Answer
wA=wb=18.70rad/s
