Question

state the expression for total energy of shm in terms of acceleration​

Answer 1

Potential Energy(P.E.) of Particle Performing S.H.M.

Potential Energy(P.E.) of Particle Performing S.H.M.You know the restoring force acting on the particle is F= -kx where k is the force constant. The total work done here is stored in the form of potential energy. ... Thus, potential energy is directly proportional to the square of the displacement, that is P.E. α x2.

Answer 2

The expression for the total energy of particle executing shm is given by the formula as follows

Explanation:

The expression for the total energy of particle executing shm is given by the formula as follows :

$E=\dfrac{1}{2}m\omega^2 A^2$

Here,

m is the mass of the body

A is the maximum displacement or the amplitude

$\omega$ is the angular frequency of the body

We know that the maximum acceleration of the particle is given by :

$\alpha =\omega^2 A$

Total energy becomes :

$E=\dfrac{1}{2}mA\alpha$

Learn more,

Simple Harmonic Motion

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