IB HL Physics Simple harmonic motion

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A tutorial sheet of SHM questions is given below.

  1. Define simple harmonic motion (SHM).
  2. True of false. SHM always occurs in a straight line.
  3. True or false. The reference point in describing SHM is always the centre of the motion.
  4. True or false. The period of damped SHM is constant during the motion.
  5. Sketch a graph showing the kinetic energy of a mass versus time as it oscillates on a spring. Does it have 'sharp' points when it touches the t axis? (no)
  6. A spring of force constant k hangs vertically. A mass M is placed on the end of the spring and released from rest. Determine the distance that the mass falls before it comes to rest.
  7. A ball of mass M falls freely from rest. When it has reached a speed v it strikes a vertical spring of force constant k. Determine the amount that the spring is compressed when the ball comes to rest.
  8. A particle moves in SHM. At a certain instant the displacement from the equilibrium position is 5.0 cm. Three seconds later the displacement is 2.0 cm and after two more seconds it is -3.0 cm. Find the largest possible period and the amplitude of the motion when this occurs. (12.60 s, 5.26 cm)
  9. A particle is moving in SHM. At a certain instant its velocity is -4.0 cm/s. Five seconds later its displacement from the equilibrium position is 2.0 cm and after a further 3.0 s its displacement is -4.0 cm. Determine the largest period and its amplitude in this motion. (6.394 s, 10.77 cm)