Physics 9702 · AS & A Level · Simple harmonic oscillations

Simple harmonic oscillations — practice question

(a)[1]

State, with reference to simple harmonic motion, what angular frequency means.

(b)

A thin metal strip is fixed at one end so that it lies horizontally. A load of mass $M$ is attached to the free end. The load produces a displacement $s$ of the strip’s end, as shown in Fig. 2.1. The load is pulled vertically away from this position and then let go. It oscillates. Fig. 2.2 shows how the displacement $s$ of the load changes with the acceleration $a$.

(b(i)(1))[1]

Use Fig. 2.2 to find the displacement of the load before it starts to oscillate.

(b(i)(2))[1]

Use Fig. 2.2 to find the amplitude of the load’s oscillations.

(b(ii))[3]

Show that the load is undergoing simple harmonic motion.

(b(iii))[3]

Calculate the frequency of oscillation of the load.

(c(i).1)[1]

Use Fig. 2.2 to find the displacement of the load before it starts to oscillate.

(c(i).2)[1]

Use Fig. 2.2 to find the amplitude of the load’s oscillations.

(c(ii))[3]

Show that the load is undergoing simple harmonic motion.

(c(iii))[3]

Calculate the frequency of oscillation of the load.

Worked solution & mark scheme

This 17-mark question has a full step-by-step worked solution and mark scheme. One marking point: Angular frequency can be written as $2\pi f$ or $2\pi / T$

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