Question

Show that the average kinetic energy of vibrating patlrticle is directly proportional to the amplitude?

Answer 1

Answer:

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.

Explanation:

Each and every object possesses energy, either while moving or at rest. In the simple harmonic motion, the object moves to and fro along the same path. Do you think an object possesses energy while travelling the same path again and again? Yes, it is energy in simple harmonic motion. Let’s learn how to calculate this energy and understand its properties.