You and your friend sit on the same swing and oscillate about the equilibrium position. Your
friend falls off the swing exactly at the highest point (largest amplitude). What will happen to the
amplitude and frequency of your oscillation ?
(a) the amplitude stays the same but the frequency increases
(b) Both amplitude and frequency will stay the same
(c) Amplitude will decrease but frequency stays the same
(d) Only the frequency changes since the mass is now different
(e) Both the amplitude and the frequency will decrease
The Attempt at a Solution
So I know for sure that the frequency doesn't change with mass so that rules out A, D,and E, but what does the amplitude do with a sudden change in mass? it's not something that usually comes up. My intuition says that the amplitude doesn't change, but im not sure of the maths at this point. im assuming we can take this swing to be a simple pendulum (SH0) for the this problem.