Physics 9702 · AS & A Level · Simple harmonic oscillations
Simple harmonic oscillations — practice question
A ball is trapped between two fixed points A and B by two stretched springs, as shown in Fig. 4.1. The ball can oscillate horizontally along AB. While it moves, both springs stay stretched and never go past their limits of proportionality. Fig. 4.2 shows how the acceleration $a$ of the ball varies with its displacement $x$ from the equilibrium position.
(a)[4]
State and explain the characteristics of Fig. 4.2 that show that the ball is undergoing simple harmonic motion.
(b(i))[1]
Use Fig. 4.2 to determine, for the oscillations of the ball, the amplitude.
(b(ii))[3]
Use Fig. 4.2 to determine, for the oscillations of the ball, the frequency.
(c)[1]
The arrangement in Fig. 4.1 is now turned through $90^{\circ}$ so that the line AB is vertical. The ball now oscillates in a vertical plane. Suggest one reason why the oscillations may no longer be simple harmonic.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A straight line passing through the origin” …