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The relation between acceleration and displacement of four particles are given below
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The correct answer is:
$a_x=-2 x$
Which, one of the particle is exempting simple harmonic motion?
$a_x=-2 x$
Which, one of the particle is exempting simple harmonic motion?
For motion to be SHM acceleration of the particle must be opposite of restoring force and proportional to negative of displacement. So, $F=m a=m(-2 x)$ i.e., $F=-2 m x$, so $F \propto-x$
Hence, $a_x=-2 x$
We should be clear that $x$ has to be linear.
Hence, $a_x=-2 x$
We should be clear that $x$ has to be linear.
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