Question

how does the period of an SHM vary with the force constant k​

Answer 1

Answer:

because the period is contant a simple harmonic oscillator is can be used as a clock

Answer 2

Answer: The time period varies with the force constant by the relation: T² $\alpha$ k

Explanation:

Given,

the force constant = k

We know the equation that :

T = $2\pi \sqrt{\frac{m}{k} }$   -------------------------(1)

Where,

T = time period of the SHM

The time period is the time required by the body to complete one oscillation.

m = mass of the body

k = force constant of the oscillator ( force constant varies with different materials and the greater the force constant greater is the rigidity of the body)

So, we can say that T $\alpha$  $k^{-2}$

Therefore, the time period varies with the force constant by the relation: T² $\alpha$ k