Question

PRACTICE ANOTHER The figure shows a photo of a swing ride at an amusement park. The structure consists of a horizontal, rotating, circular platform of diameter D from which seats of mass m are suspended at the end of massless chains of length d. When the system rotates at constant speed, the chains swing outward and make an angle θ with the vertical. Consider such a ride with the following parameters: D = 8.50 m, d = 2.50 m, m = 9.0 kg, and θ = 27.0°. A photograph of people on an amusement park swing ride. (a) What is the speed of each seat (in m/s)? m/s (b) Draw a diagram of forces acting on a 40.0-kg child riding in a seat. This answer has not been graded yet. (c) Find the tension in the chain (in N). N What If? The chains holding each seat can withstand a maximum total tension of 700 N. (d) What is the angle that the chains make with the vertical (in degrees) when they have this tension? ° (e) What is the maximum angular speed (in rad/s) with which the ride can rotate? rad/s

Answer 1

8 2 R = ( 2 +dsinol Tloso Tas Tsino Troso = mg ling Tsino = my² R v2 tano Rg = √ Rg tang ſi & tsine) & tund (8150 + 9.50 sine 7)9:8 9.8 ton 27° 5.18 8 m/s. - Twoll-ung T sine - mit ing Les T= 538.94N ung (404) x9,8 loso Cos27 mg (40+9) x 9.8 = 0.686 100 (ds Coso Q = 46.680

كه V- (RT SRO Aly جرم و باره ی مادر و پ * 1 ) داد 46 +9 سه 1.34 "(۶ V - لا 1.94 م 95 4 inكه2.5 + عکا 2. - 1.94 6.668 - ههه 3eg .| -