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Edexcel | Physics WPH0 | W 11 5 1 | 1 hour 30 minutes

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Observing the display of a ‘floating image’ clock relies on the phenomenon of

‘persistence of vision’. The clock has a wand with a set of flashing light-emitting diodes

(LEDs) at its end. The wand oscillates rapidly back and forth and takes only 0.0625 s tosweep from one end to the other. The wand becomes almost invisible to the eye, while the flashing LEDs create a floating image effect.

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(a)

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The tip of the wand moves with simple harmonic motion as it sweeps through a

distance of 10.0 cm from one end to the other.

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(a) (I)

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2 Mark s

Calculate the frequency of the wand’s oscillation.

Frequency = . . . . . . . . . . . . . . .

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(a) (II)

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1 Mark

The speed of the wand varies as it sweeps back and forth. At what point will

the speed of the wand be a maximum?

At the equilibrium (position) / centre of the oscillation / mid-point

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(a) (III)

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2 Mark s

Calculate the maximum speed of the tip of the wand.

Maximum speed = . . . . . . . . . . . . . . . . . . . .

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(b)

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In normal operation the clock may make a faint ticking or humming sound. An

unstable surface supporting the clock can result in noisy operation due to resonance.

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(b) (I)

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2 Mark s

Explain what is meant by resonance.

Idea that the system is forced / driven into oscillation at / near its natural

frequency

OR driver / forcing frequency is equal / near to natural frequency (1)

Leads to large/max energy transfer OR large/max/increasing amplitude

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(b) (II)

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2 Mark s

The clock is mounted on rubber feet so that it does not make direct contact with

surfaces. Explain how this helps to reduce the effects of resonance.

Max 2

♦ Rubber feet (deform and) absorb (vibration) energy

♦ Reference to damping

♦ Idea that energy is removed from system

♦ Hence amplitude does not build up

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All the included past papers are copyrighted © University of Cambridge Local Examinations Syndicate (UCLES), which we have collected from various online sources and gathered together in one website.