An SUV is pushing a large drum to the right with force P, using its front bumper. The drum...

An SUV is pushing a large drum to the right with force P, using its front bumper. The drum has mass m and radius of gyration kG. The static and kinetic friction coefficients between the drum and the ground and between the drum and the SUV are μs and μk, respectively.

(a) Assuming that there is no slipping between the drum and the ground, determine the acceleration of the drum and the minimum value of μs that is consistent with this motion.

(b) Determine the acceleration of point G and the angular acceleration of the drum if P is increased so that the drum slips relative to the ground.

Figure P7.62