Q. In SHM restoring force is $F = - k\ x$, where $k$ is force constant, $x$ is displacement and A is amplitude of motion, then total energy depends upon
A) $k,\ A\ and\ M$
B) $k,\ x,\ M$
C) $k,\ A$
D) $k,\ x$
Explanation
(c) In SHM, the total energy=potential energy + kinetic energy
or $E = U + K$
$= \ \frac{1}{2}m\omega^{2}x^{2} + \frac{1}{2}m\omega^{2}(A^{2} - x^{2})$
$= \ \frac{1}{2}m\omega^{2}A^{2} = \frac{1}{2}\ kA^{2}$
where $k$ = force constant= $m\omega^{2}$
Thus, total energy depends on $k\ and\ A$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.