Question

If the total energy of the particle executing shm is e and amplitude a if the mass is m.find the new total energy if a new massm is attached to the particle at its extreme?

Answer 1

`e`

There will be no change in total energy

Explanation:

We know that total energy at extreme point of an SHM motion is `1/2momega^2A^2`(where,`A` is the amplitude of motion.

Now,if we put a mass `m` gently on this particle,its kinetic energy will be zero,as velocity of a particle in SHM at extreme point is also zero,so the new total energy of the system becomes, `1/2 momega^2A^2+0=e`

So,there will be no change in total energy.