Physics 9702 · AS & A Level · Damped and forced oscillations, resonance

Damped and forced oscillations, resonance — practice question

A student arranges the apparatus shown in Fig. 3.1 to study the oscillations of a metal cube hanging from a spring. The oscillator produces vibrations with constant amplitude. Fig. 3.2 shows how the amplitude of the metal cube’s oscillations changes with frequency.
(a(i))[1]

State the phenomenon shown in Fig. 3.2.

(a(ii))[1]

For the greatest amplitude of vibration, state the values of the amplitude and the frequency.

(b(i))[3]

The oscillations of the metal cube, which has mass $150 \, \text{g}$, may be treated as simple harmonic. Use your answers in (a)(ii) to find the cube’s maximum acceleration.

(b(ii))[2]

Find the maximum resultant force acting on the cube.

(c)[2]

Very light feathers are fixed to the top face of the cube so that they project outwards beyond the cube’s vertical sides. The experiment is carried out again. On Fig. 3.2, draw a line to show the revised variation with frequency of the amplitude of vibration for frequencies between $2 \, \text{Hz}$ and $10 \, \text{Hz}$.

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