Question

The amplitude of oscillation is the maximum distance between the oscillating weight and the equilibrium position. Determine the frequency of oscillation for several different amplitudes by pulling the weight down different amounts while still keeping the simulation within the top and botom boundaries. How does the frequency depend on the amplitude of oscillation?

Answer 1

Answer:

Hooke's law is fulfilled the frequency does not depend on the amplitude of the oscillation

Explanation:

In a spring mass system the restorative force is the Hooke force

         F = - k x

         

Where to replace Newton's second law get us

        -k x = m d²x / dt²

The solution of this equation of a cosenoidal wave, where the angular velocity is

        w = √ k / m

The frequency and angular velocity are related

       w = 2π f

       2π f = √k/m

We can see from these expressions that as long as Hooke's law is fulfilled the frequency does not depend on the amplitude of the oscillation

Answer 2

The frequency is independent of the amplitude.