A metal plate is made to vibrate vertically by means of an oscillator, as shown in Fig. 2.1. [Figure 2.1] Some sand is sprinkled on to the plate. The variation with displacement y of the acceleration a of the sand on the plate is shown in Fig. 2.2. [Figure 2.2]

1. (a)(i)Use Fig. 2.2 to show how it can be deduced that the sand is undergoing simple harmonic motion.[2]
2. (a)(ii)Calculate the frequency of oscillation of the sand. frequency = .............................................. Hz[2]
3. (b)(i)state the position of the plate,[1]
4. (b)(ii)calculate the amplitude of oscillation. amplitude = .............................................. mm[3]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.