Question

derive an expression potential energy of a particle performing linear SHM​

Answer 1

Explanation:

(may this help you to understand)

At the mean position, the total energy in simple harmonic motion is ________

a) purely kinetic b) purely potential c) zero d) None of the above

Answer: a) purely kinetic. At the mean position, the velocity of the particle in S.H.M. is maximum and displacement is minimum, that is, x=0. Therefore, P.E. =1/2 K x2 = 0 and K.E. = 1/2 k ( a2 – x2) = 1/2 k ( a2 – o2) = 1/2 ka2. Thus, the total energy in simple harmonic motion is purely kinetic.