The College Board Advanced Placement Examination PHYSICS C SECTION II, MECHANICS Time-45 minutes golfg 3 Questions t 4 -term bataion bila.cfm b of age A M 76d'ads and W saiwo fart adi evads woda ai moit cod add Rider X ib's asbila Figure 1 Figure II sd: lo ammo al 201 od all tastani aidi is bas ech. 1. An amusement park ride consists of a ring of radius A from which hang ropes of length 1 with seats for the riders as shown in Figure 1. When the ring is rotating at a constant angular velocity each rope forms a constant angle 8 with the vertical as shown in Figure IL Let the mass of each rider be m and neglect friction, air resistance, and the mass of the ring, ropes, and seats. (a) In the space below, draw and label all the forces acting on rider X (represented by the point below) under the constant rotating condition of Figure II. Clearly define any symbols you introduce. Dodon ailea to mai311900 3 Download (b) Derive an expression for in terms of A, 1, 0, and the acceleration of gravity g. (c) Determine the minimum work that the motor that powers the ride would have to perform to bring the system from rest to the constant rotating condition of Figure IL Express your answer in terms of m, g, 4, 8 and the speed v of each rider. (