Consider a collar with mass m that is free to slide with no friction along a rotating arm...

Consider a collar with mass m that is free to slide with no friction along a rotating arm of negligible mass. The system is initially rotating with a constant angular velocity ω0while the collar is kept at a distance r0 from the z axis. At some point, the restraint keeping the collar in place is removed so that the collar is allowed to slide. Determine the expression for the moment that you need to apply to the arm, as a function of time, to keep the arm rotating at a constant angular velocity while the collar travels toward the end of the arm. Hint:

Figure P5.143