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. It can oscillate freely in the horizontal direction along AB. While it moves, the springs stay stretched and never go beyond their proportionality limit. Fig. 4.2 shows how the acceleration $a$ of the ball varies with its displacement $x$ from equilibrium.
(a)[4]
State and explain the features of Fig. 4.2 that show the ball is executing simple harmonic motion.
(b(i))[1]
Use Fig. 4.2 to find the amplitude.
(b(ii))[3]
Use Fig. 4.2 to find the frequency.
(c)[1]
The arrangement in Fig. 4.1 is now turned through $90^{\circ}$ so that 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 that passes through the origin” …