Question

The total energy of a particle, executing simple harmonic motion is ______.

where x is the displacement from the mean position, hence total energy is independent of x.

Options

• independent of x

• ∝ x²

• ∝ x

• ∝ x^1/2

Answer 1

The total energy of a particle, executing simple harmonic motion is independent of x.

where x is the displacement from the mean position, hence total energy is independent of x.

Explanation:

At any instant the total energy in SHM is,

`1/2kA_0^2` = constant,

where A₀ = amplitude

k = spring constant

hence total energy is independent of x.