Consider an ideal pendulum consisting of a "bob" of mass m hanging from a light (massless) string of length L. The pendulum swings back and forth in simple harmonic motion (SHM). You may assume that the oscillations are small, so that the motion is "ideal" SHM. Which of the following statements are true?
(Give ALL correct answers)
A) If the mass of the pendulum bob is changed to 4m, the frequency will decrease by a factor of 4
B) If the string length is changed to 4L, the frequency will decrease by a factor of 2
C) In order to deduce the value of g (acceleration due to gravity), you would need to measure the length and the frequency of the pendulum
D) If the pendulum is moved to the Moon, the frequency will decrease
E) If the initial amplitude doubles, the frequency will not change