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12 marksHarmonic Motion

CAPE Physics Unit 1 · 2006 · Paper 2 · Question 7(b)(iii)

Figure 5 shows the piston of an automobile engine. The motion of the piston is simple harmonic. The stroke of the engine (twice the amplitude) is 0.100 m and the engine runs at 3500 revolutions per minute. The mass of the piston is 0.450 kg.

the kinetic energy of the piston at the midpoint of the stroke.

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Other parts of this question

  1. 7(a)(i)With the aid of sketch graphs, give an account of the energy transformations which occur during one complete cycle of this system.[8 marks]
  2. 7(a)(ii)Explain why a damped oscillating system experiences a progressive decrease in its amplitude.[8 marks]
  3. 7(b)Calculate:[1 mark]
  4. 7(b)(i)the acceleration of the piston at the endpoint of the stroke.[12 marks]
  5. 7(b)(ii)the speed of the piston at the midpoint of the stroke.[12 marks]
  6. 7(b)(iv)the average power required to accelerate the piston from rest to the speed found in (b)(ii).[12 marks]

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