IB Physics Simple harmonic motion

A tutorial sheet of simple harmonic motion (SHM) questions for IB SL and HL appears below.

  1. A simple pendulum always swings in SHM. True or false?
  2. A simple pendulum has a mass on the end of a string of length L. The mass hangs at rest. It is given a small horizontal velocity u. If the initial speed is doubled, which case, high initial speed or low initial speed, has the greater a) period of oscillation, b) energy, c) tension in the string.
  3. A particle moves in SHM of period 6.00 s and amplitude 12.0 cm. Find the least time taken by the particle to move from x = +8.00 cm to x = +4.00 cm.