Physics 9702 · AS & A Level · Energy in simple harmonic motion

Energy in simple harmonic motion — practice question

Fig. 5.1 shows a pendulum made of a metal sphere hanging from a thin string. The sphere makes small oscillations around its equilibrium position. These oscillations can be treated as simple harmonic. Fig. 5.2 shows how the displacement $x$ of the sphere from equilibrium changes with time $t$.
(a)[1]

On Fig. 5.1, draw an arrow from the centre of the sphere to show the direction of the resultant force on the sphere in the position shown.

(b(i))[1]

State the amplitude of the oscillations shown.

(b(ii))[2]

Determine the angular frequency for these oscillations.

(b(iii))[2]

Calculate the total energy associated with the oscillations.

(c)[3]

On Fig. 5.3, sketch how the kinetic energy $E_K$ of the sphere varies with $x$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Arrow shows the correct force direction

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