Physics 9702 · AS & A Level · Simple harmonic oscillations

Simple harmonic oscillations — practice question

A mass hangs vertically from a fixed point on a spring, as shown in Fig. 4.1. The mass is moving in vertical oscillation. Fig. 4.2 shows how the acceleration $a$ of the mass varies with displacement $x$.
(a(i))[1]

State what the displacement of the mass on the spring means.

(a(ii))[1]

Suggest how Fig. 4.2 indicates that the mass is not performing simple harmonic motion.

(b(i))[1]

The amplitude of oscillation of the mass may be altered. State the greatest amplitude $x_0$ for which the oscillations are simple harmonic.

(b(ii))[3]

For the simple harmonic oscillations of the mass, use Fig. 4.2 to work out the frequency of the motion.

(c)[2]

For simple harmonic motion of amplitude $x_0$, the mass has a maximum speed of $v_0$. In Fig. 4.3, show how the velocity $v$ of the mass varies with displacement $x$ for displacements from $+x_0$ to $-x_0$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Separation from a reference point measured in one specified direction

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