Total mechanical energy of a particle in SHM (mass $m$, amplitude $A$, angular frequency $\omega$) is:
- $\frac{1}{2} m \omega A$
- $\frac{1}{2} m \omega^2 A^2$
- $m \omega^2 A^2$
- $\frac{1}{2} m \omega A^2$
Show answer and solution
Correct answer: B. $\frac{1}{2} m \omega^2 A^2$
$E = \frac{1}{2} m \omega^2 A^2$.
Constant throughout the motion.
At any point, $E = KE + PE = \frac{1}{2}m\omega^2(A^2 - x^2) + \frac{1}{2}m\omega^2 x^2$.