(a)[2]
State the meaning of simple harmonic motion.
(b)
A block is attached to a spring, as shown in Fig. 4.1. The block is pulled downwards and then released at time $t = 0$. It subsequently oscillates vertically in simple harmonic motion. Fig. 4.2 shows how the velocity $v$ of the block varies with the height $h$ of the base of the block above the floor.
(b(i))[1]
Determine the amplitude, in cm, for the oscillations.
(b(ii))[2]
Show that the angular frequency for the oscillations is $3.2\,\text{rad s}^{-1}$.
(b(iii))[2]
Calculate the period $T$ for the oscillations.
(b(iv))[4]
On Fig. 4.3, sketch how $h$ varies with time $t$ for $t = 0$ to $t = 6.0\,\text{s}$.