Question

At which position, the restoring force acting on a particle executing linear SHM is minimum​

Answer 1

Answer:

Restoring Force is maximum at the extreme positions and minimum at the mean position

Explanation:

Answer 2

THE RESTORING FORCE IS MINIMUM AT MEAN POSITION.

• Let's assume an SHM as :

$x = a \sin( \omega t)$

• "x" is displacement, $\omega$ is angular frequency , t is time and a is amplitude.

Now, the acceleration (after 2nd order differentiation of displacement function) will be :

$a = - { \omega}^{2}a \sin( \omega t)$

$\implies a = - { \omega}^{2} \{a \sin( \omega t) \}$

$\implies a = - { \omega}^{2} x$

$\implies F = - m { \omega}^{2} x$

Now, for minimum force , value of x has to be zero for F to be zero.

• This is possible only at mean position of the SHM.