Circular Motion 1: 37.7 m 2: 6 s, 7.16 revs 3: - 5: JaBal > lacDl > laABl, yes 6: 1.22 kg 7: TA = 150 N, TB = 91.6 N, To = 32.7 N, TD = 91.6 N 8: Vmax = Usgr, 27.1 m/s -> 60.7 mph, 7 m/s - 15.7 mph 9: 3.74 s, 33.9 N 10: 3.54 s 11: 8.08 m/s 12: 4.7 m/s 13: n = 3mg, HEEL9: A 3 kg ball moves at constant speed in a horizontal circle on the inside of a cone as shown (below left). The radius of the circle is 2 m. Determine the magnitude of the normal force acting on the ball and the time required for the ball to complete exactly one circle. Assume that the surface of the cone is frictionless. Use 0 = 60. Hint: apply Newton's 2nd Law horizontally and vertically. r 10: A 0.5 kg ball on a horizontal table is moving in a circle of radius 1 m (as in problem 6 without the hole in the table). It is initially at rest and then it speeds up at a rate of 4 m/s2. The string will break if its tension needs to exceed 100 N. Determine the time when the string breaks. 11: An amusement park ride has a cylinder rotating about a vertical axis (above right). When it is spinning fast enough, the floor is dropped down and the riders stick to the wall well above the floor. Find the minimum tangential speed of the rider needed to make certain that the rider doesn't slide down the wall. Assume that friction between the wall and the rider is described by As = 0.6. User = 4 m. 12: Refer back to problem 7. Determine the minimum speed the ball can have at point B and still successfully make it around the loop.133: A roller coaster starts from rest at point A and moves along the frictionless track. You may assume that points B and C are part of circles with radii H and L respectively. Determine the magnitude of the normal force at point B. b: Determine the minimum H that guarantees that the roller coaster will leave the track at point C. A