For a particle executing simple harmonic motion with amplitude and angular frequency

PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations

Problem

For a particle executing simple harmonic motion with amplitude

A

and angular frequency

\omega

, which one of the following expressions gives the magnitude of its velocity

v

when its instantaneous displacement from the mean position is

x

? (a)

v = \omega\sqrt{A^{2}+x^{2}}

(b)

v = \omega\sqrt{2\left(A^{2}-x^{2}\right)}

(c)

v = \omega\sqrt{A^{2}-x^{2}}

(d)

v = \omega\dfrac{A^{2}-x^{2}}{A}