Asmall cylinder rests on a circular turntable that is rotating clockwise at a constant speed. the cylinder is at a distance of r = 12 cm from the center of the turntable. the coefficient of static friction between the bottom of the cylinder and the surface of the turntable is 0.45. what is the maximum speed vmax that the cylinder can have without slipping off the turntable?

To practice problem-solving strategy 10.1 for energy conservation problems. a sled is being held at rest on a slope that makes an angle θ with the horizontal. after the sled is released, it slides a distance d1 down the slope and then covers the distance d2 along the horizontal terrain before stopping. find the coefficient of kinetic friction μk between the sled and the ground, assuming that it is constant throughout the trip.