Problem

An 0.8 lb collar with center of mass at G and a uniform cylindrical horizontal arm A of le...

An 0.8 lb collar with center of mass at G and a uniform cylindrical horizontal arm A of length L = 1 ft, radius ri = 0.022 ft, and weight WA = 1.5 lb are rotating as shown with ω0 = 1.5 rad/s while the collar’s mass center is at a distance d = 0.44 ft from the z axis. The vertical shaft has radius e = 0.03 ft and negligible mass. After the cord restraining the collar is cut, the collar slides with no friction relative to the arm. Assuming that no external forces and moments are applied to the system, determine the collar’s impact speed with the end of A if (a) the collar is modeled as a particle coinciding with its own mass center (in this case neglect the collar’s dimensions), and (b) the collar is modeled as a uniform hollow cylinder with length ℓ = 0.15 ft, inner radius ri, and outer radius ro = 0.048 ft.