A playground swing consists of a light seat suspended by two identical ropes of length 2.50 m. Treat the motion of the seat and child as that of a simple pendulum undergoing small oscillations. When the child is released from rest at t=0, the seat is displaced 0.10 m horizontally from its equilibrium position.
Answer the questions that follow.
a. Calculate the period of the swing’s oscillation.
b. Determine the displacement of the seat 0.60 s after release. State the direction (toward or away from equilibrium) as well as the magnitude.
c. Compute the speed and the magnitude of the acceleration of the seat at t=0.60s.
d. Suppose the initial horizontal displacement were doubled to 0.20 m while all other conditions remained the same. Describe quantitatively how, if at all, the period would change. Justify your answer.