Meriam, Kraige & Bolton — Plane Kinetics of Rigid Bodies: Problem 6_70

6/70 The system of Prob. 6/18 is repeated here. If the hoop and semicylinder-assembly is centered on the top of the stationary cart and the system is released from rest, determine the initial acceleration \(a\) of the cart and the angular acceleration \(\alpha\) of the hoop and semicylinder. Friction between the hoop and cart is sufficient to prevent slip. Motion takes place in the x-y plane. Neglect the mass of the cart wheels and any friction in the wheel bearings.