If $x, v$ and $a$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $T$, then, which of the following does not change with time?
AIEEE 2009, Medium
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For an $SHM$, the acceleration $a=-\omega^{2} x$ where $\omega^{2}$
is a constant. Therefore $\frac{a}{x}$ is a constant. The time period
$T$ is also constant. Therefore $\frac{a T}{x}$ is a constant.
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