First slide

Simple hormonic motion

Question

A student says that he had applied a force F = – k/x on a particle and the particle moved in simple harmonic motion. He refuses to tell whether r is a constant or not. Assume that he has worked only with positive x and no other force acted on the particle

Easy

A

As x increases k increases
B

As x increases k decreases
C

As x increases k tends to infinity
D

As x increases k remains constant

Solution

For SHM F is proportional to (-x)
$\Rightarrow F \propto \frac{{\left( { - {x^2}} \right)}}{x}$
$\Rightarrow F = \frac{{ - a{x^2}}}{x}$
$\Rightarrow F = - \frac{k}{x}$
where k = $a x^{2}$ and 'a' is a constant.
So option (1) is right.

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