Problem

For the disk of Prob. 18.99, determine (a) the couple M1 j which should be applied to arm...

For the disk of Prob. 18.99, determine (a) the couple M1 j which should be applied to arm ABC to give it an angular acceleration α1 = −(7.5 rad/s2)j when ω1 = 5 rad/s, knowing that the disk rotates at the constant rate ω2 = 15 rad/s, (b) the force-couple system representing the dynamic reaction at A at that instant. Assume that ABC has a negligible mass.

Prob. 18.99

A thin disk of mass m = 4 kg rotates with an angular velocity ω2 with respect to arm ABC, which itself rotates with an angular velocity ω1 about the y axis. Knowing that ω1 = 5 rad/s and ω2 = 15 rad/s and that both are constant, determine the force-couple system representing the dynamic reaction at the support at A.