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 P3.78
If no external forces and moments are applied to the system, what are the radial speed and the total speed of the collar when it reaches the end of the arm? Use m = 2 kg, ω0 = 1 rad/s, r0 = 0.5 m, and d = 1 m.
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