(a)[2]
State the meaning of simple harmonic motion.
(b)
A small sphere hangs from a fixed point $P$ on a string of negligible mass, as shown in Fig. 4.1. It is displaced a small distance horizontally and then released. Fig. 4.2 shows how the horizontal velocity $v$ of the sphere varies with time.
(b(i))[1]
State two times when the sphere is crossing the equilibrium position in the same direction.
(b(ii))[2]
Calculate the frequency of oscillation of the sphere, given that the interval between $t_{1}$ and $t_{6}$ is $2.2\,\text{s}$.
(c)[3]
The sphere in (b) performs simple harmonic motion. Use your answer to (b)(ii) together with information from Fig. 4.2 to find the maximum displacement of the sphere from equilibrium.