An amusement park ride consists of a rotating circular platform 8.00 m in diameter from which 9.5 kg seats are suspended at the end of 2.50 m massless chains. When the system rotates, the chains make an angle θ = 31.0° with the vertical. Assume the average mass of a child is 40.0 kg.

(b) Find the tension in the chain.

1 answer

(M+m) •a=T•sinθ
(M+m)g= T•cosθ
a/g= T•sinθ/ T•cosθ=tanθ
a=g• tanθ
T=(M+m) •a/ sinθ=(M+m) • g• tanθ/ sinθ