(a)[2]
State the meaning of simple harmonic motion.
(b)
Fig. 4.1 shows how the displacement $x$ of oscillators P and Q varies with time $t$. The two oscillators each have the same mass. Use Fig. 4.1 to determine:
(b(i))[1]
the phase difference for the two oscillators.
(b(ii))[2]
the maximum acceleration reached by oscillator Q.
(b(iii))[2]
Determine the ratio \[ \frac{\text{maximum kinetic energy of oscillator Q}}{\text{maximum kinetic energy of oscillator P}} \].
(c)[2]
Using the data in (b), sketch on the axes of Fig. 4.2 how the acceleration $a$ of oscillator Q varies with displacement $x$.