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Physics Waves And Oscillations Level: High School

Simple Harmonic Motion

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 the forth in simple harmonic motion (SHM) . You may assume that the oscillations are small ,so that the motion is “ideal” SHM . Which of the statements below are true ?

a) If the initial amplitude doubles , the frequency will increase by a factor of 1.4

b) If the pendulum is moved to Jupiter , the frequency will decrease

c) In order to deduce the value of g (accel ,due to gravity ) , you would need to measure the length and the period of the pendulum .

d) If the string length is changed to 4L , the frequency will increase by a factor of 2

e) If the mass of the pendulum bob is changed to 4m , the frequency will increase by a factor of 4 .