STANDARD Physics Simple Harmonic Motion Multiple Correct Question

Option A is correct because simple harmonic motion (SHM) is characterized by a sinusoidal function of time, such as $x = \sin^3(\omega t)$, which can be expressed as a combination of sine functions and retains the periodic nature of SHM. In contrast, option 2, $x = 1 + \omega t + \omega^2 t^2$, represents a parabolic motion, and option 3, $x = \cos(\omega t) + \cos(3\omega t) + \cos(5\omega t)$, is a superposition of multiple frequencies, which does not describe SHM. Option 4, $x = \sin(\omega t) + \cos(\omega t)$, can be rewritten as a single sinusoidal function, but it does not strictly represent SHM in its original form.