A certain amusement park ride consists of a large rotating cylinder of radius R = 3.05 m. As the cylinder spins, riders inside feel themselves pressed against the wall. If the cylinder rotates fast enough, the frictional force between the riders and the wall can be great enough to hold the riders in place as the floor drops out from under them. R If the cylinder makes f = 0.550 rotations/s, what is the magnitude of the normal force IN between a rider and the wall, expressed in terms of the rider's weight W? FN = W What is the minimum coefficient of static friction # required between the rider and the wall in order for the rider to be held in place without sliding down? H& 2A car travels down a straight country road that leads over hills and through valleys. On one particular stretch of road. the car encounters a hill that can be approximated as the top of a circle with a radius rl1 = 109 m. Later, the car comes to a dip with a radius of curvature rd = T5 In. Assume that the car maintains a constant speed of n = 23 mils as it goes over the hill and through the dip. Figure not to scale. The actual weight of the driven as measured on a flat stretch of road. is 670 N. What is the apparent weight of the driver at W II. the top ofthe hill? || 2 What is the apparent weight of the driver at the bottom of the dip? I A ZOOkg Object A is connected with a massless string across a massless, frictionless pulley to a 3.00kg object B. Object A rests on a nearljr frictionless plane which is tilted at an angle t} 01'4011" as shown. What is the tension T in the string? What is the acceleration a of the system? F. A device known as Atwood's machine consists of two masses hanging from the ends of a 1vertical rope that passes over a i pulley. Assume the rope and pulley are massless and there is no friction in the pulley. Mass ml is greater than mass M}. I Find expressions for the magnitude of their acceleration. a, and the tension in the rope, T. Express your answers in terms of the masses and g, the acceleration due to grayity. .F