A car is pushing a barrel to the right. The pushing force P is applied by the front bumper which is level with the center G of the barrel (see figure). The barrel has mass m, radius R, and radius of gyration KG. The coefficients of static and kinetic friction between the bumper and the barrel are us and μk. The coefficients of static and kinetic friction between the barrel and the road are also μs and μk. 1) If the barrel doesn't slip on the road, find the acceleration of the barrel and the minimum value of us required to ensure no slipping. 2) If the barrel slips on the road, find the acceleration of G and the angular acceleration of the barrel. Ms. Mk- m GR

A car is pushing a barrel to the right. The pushing force P is applied by the front bumper which is level with the center G of the barrel (see figure). The barrel has mass m, radius R, and radius of gyration KG. The coefficients of static and kinetic friction between the bumper and the barrel are us and μk. The coefficients of static and kinetic friction between the barrel and the road are also μs and μk. 1) If the barrel doesn't slip on the road, find the acceleration of the barrel and the minimum value of us required to ensure no slipping. 2) If the barrel slips on the road, find the acceleration of G and the angular acceleration of the barrel. Ms. Mk- m GR