At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls away, leaving the backs of the riders "plastered" against the wall. Suppose the radius of the room is 3.20 m and the speed of the wall is 16.7 m/s when the floor falls away. The source of the centripetal force on the riders is the normal force provided by the wall. (a) How much centripetal force acts on a 59.5 kg rider? (b) What is the minimum coefficient of static friction that must exist between the rider's back and the wall, if the rider is to remain in place when the floor drops away?

A car of mass 500 kg is traveling on a circular banked roadway that is inclined at an angle of 0 = 20° with a radius of 100 m. What is the only speed at which the car can sliding navigate the bank without up or down the incline?

See Conceptual Example 6 to review the concepts involved in this problem. A 10.8-kg monkey is hanging by one arm from a branch and swinging on a vertical circle. As an approximation, assume a radial distance of 61.6 cm is between the branch and the point where the monkey's mass is located. As the monkey swings through the lowest point on the circle, it has a speed of 1.99 m/s. Find (a) the magnitude of the centripetal force acting on the monkey and (b) the magnitude of the tension in the monkey's arm. (a) Number (b) Number Units Units #

A jet pilot takes his aircraft in a vertical loop. The mass of the pilot is 68.0 kg. the loop has radius 1680 m. If the speed of the aircraft at the bottom of the loop is 316 m/s, the apparent weight of the pilot at the bottom of the loop is? If the pilot to feels weightless at the top of the loop, the speed of the aircraft at the top of the loop is?