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Problem 6. An amusement park ride consists of a rotating circular platform of diameter d = 8 m from which seats are suspended at the end of L = 2.5

m massless chains. The combined mass of a seat and the child riding in it is M = 50 kg. When the system rotates, the chains make an angle 0 = 28° with the vertical. (a) Draw a free body diagram of the seat and child (treated as one object) and find the tension in the chain. (b) Determine the linear speed of each seat.

Fig: 1

Fig: 2