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4 marksHarmonic Motion

CAPE Physics Unit 1 · May/June 2023 · Paper 2 · Question 2(b)(ii)

The displacement, y, of a body undergoing SHM is given by y = A sin(ωt).

On the grid provided in Figure 3, sketch THREE graphs to show how displacement, y, velocity, v, and acceleration, a, each vary with time, t, for an object undergoing SHM for ONE period of oscillation. Use the same time scale for all three sketches.

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Other parts of this question

  1. 2(a)State the TWO conditions that must be satisfied for the oscillatory motion of an object to be considered simple harmonic.[2 marks]
  2. 2(b)(i)State what the symbols A and ω represent in the equation.[2 marks]
  3. 2(c)(i)Assuming that Hooke's law is obeyed, calculate the extension produced in the spring.[2 marks]
  4. 2(c)(ii)Calculate the maximum kinetic energy of the mass if it is displaced a further 0.045 m.[3 marks]
  5. 2(d)(i)On the grid provided in Figure 5, plot a graph of amplitude of vibration, y, against frequency, f. Draw a smooth curve through the points.[4 marks]
  6. 2(d)(ii)Use your graph to determine the angular frequency of the wooden block when it is oscillating at maximum amplitude.[3 marks]
  7. 2(e)Explain the meaning of the term 'diffraction of light'.[2 marks]
  8. 2(f)(i)Determine the number of rulings per mm on the grating.[5 marks]
  9. 2(f)(ii)Determine the highest order of fringes obtained on EACH side of the normal.[3 marks]

More practice: the rest of this paper · more Harmonic Motion questions · all CAPE Physics Unit 1 past papers