Two masses, M and 4M, are on opposite ends of a massless spring, sitting on a frictionless, horizontal table. The spring is compressed, and the spring-and-masses system is released from rest. If mass M oscillates with amplitude A and frequency f, then mass 4M will oscillate with (HINT: Consider the center of mass!)
xcom = 1/MƩximi
The Attempt at a Solution
There is no net external force and i'm assuming the system is compressed to its center of mass which means there is a displacement for M of 4L/5 (L being the spring length) and a displacement of L/5 for 4M. So the amplitude of 4M is A/4 because it was displaced 1/4 the distance of M.
and f=ω/2∏ I found the frequency of 4M to be f/2. This is wrong acc. to webassign tho so i'm confused if my whole approach is wrong or just my calculations? Thanks