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, which has negligible mass. The system is initially rotating with an angular velocity ω0 while the collar is kept a distance r0 away from the z axis. At some point, the restraint keeping the collar in place is removed so that the collar is allowed to slide.

Figure P3.80

Compute and plot the collar’s trajectory from the moment of release until the collar reaches the end of the arm. Use the parameters and initial conditions given in Prob. 3.78.