Question

A body executes simple harmonic motion with amplitude A. At what displacement from the mean position is the potential energy of body is 1/4 of total energy.

Answer 1

please give me thanks

Answer:

Hope it's clear

I assume you know how the formula for potential energy is derived

all I did was

1) first write what was given in the question

2)then write down what's X+Y in terms of whatever is left and hope that the mass,angular frequency get cancelled out!!!!

now put it back in the answer to get your answer

the final answer is