The energy of a particle executing simple harmonic motion is given by E = $A x^{2} + B v^{2}$ where $x$ is the displacement from mean position $x = 0$ and $v$ is the velocity of the particle at $x$ then choose the correct statement(s).

Question

The energy of a particle executing simple harmonic motion is given by E =

A x^{2} + B v^{2}

where

x

is the displacement from mean position

x = 0

and

v

is the velocity of the particle at

x

then choose the correct statement(s).

Toppr Admin · Accepted Answer

E-Ax2-Bv2As we know that at max amplitude- V-0-x2234-E-Aa2Let a be amplitude-x2234-a2-EA-a-x221A-EA1-

The energy of a particle executing simple harmonic motion is given by the equation $E = A x^{2} + B v^{2}$ where $x$ is the displacement from mean position $x = 0$ and $v$ is the velocity of the particle at $x$ . Find the amplitude of $S . H . M$ .