Question

Obtain the dimensions of force constant in SHM.​

Answer 1

Answer:  $[MT^{-2}]$

Explanation:

For simple harmonic motion (SHM), we know the restoring force is given by,

F = - K x

where K is the force constant and x is the displacement.

so we can have the dimensions of force constant from the above equation.

We see that, K = - F / x

so, the dimensions of K :

$[K] = \frac{[F]}{[x]} = [MLT^{-2}] / [L] = [MT^{-2}]$