Question

12.
Consider a spring applied with a force within the elastic limit.
(a) Draw the variation of restoring force F with displacement X from the mean
position.​

Answer 1

Given:

A spring applied with a force within the elastic limit.

To find:

Variation of restoring force with respect to displacement from mean position ?

Calculation:

First of all, the restoring spring force is dependent on the displacement (from mean position) as follows:

$\boxed{ \bf \therefore \: F = - kx}$

• Here F is restoring force , k is a constant and x is the displacement from mean position.

• - ve sign denotes that the restoring force is opposite to the displacement.

We can also say that :

$\boxed{ \bf \implies \: F \propto - x}$

• So, if we plot a F vs x graph , it will show a linear graph with negative slope.

• When x will be negative (let's say spring is compressed) the force will be positive, and vice versa.