Consider a simple pendulum with the mass (m = 50 g) and length L. The pendulum is set into oscillation by displacing it 25 mm to one side. Assume the gravitational constants of earth and moon are g = 9.8 m/s2 and 1.62 m/s2, respectively.
(a) Do you think the pendulum performs a simple harmonic motion (SHM)? If so,
prove that its motion is SHM.
(b) If the period is 2.5 s, what is the length of the pendulum?
(c) Show that the initial displacement satisfies the small angle approximation.
(d) How does the period change if the pendulum is taken to the moon?
(e) Draw a schematic diagram.
