Which one of the following gives the total mechanical energy of a particle executing…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Oscillations · Oscillations

Problem

Which one of the following gives the total mechanical energy of a particle executing simple harmonic motion of mass

m

, angular frequency

\omega

and amplitude

A

? (a)

E=\dfrac14\,m\,\omega^{2}\,A^{2}

(b)

E=\dfrac12\,m\,\omega^{2}\,A^{2}

(c)

E=m\,\omega^{2}\,A^{2}

(d)

E=\dfrac12\,m\,\omega^{2}\,A^{2}\sin^{2}\omega t