Starting with the displacement function for simple harmonic motion for a mass…

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

Starting with the displacement function for simple harmonic motion

x(t)=A\cos(\omega t+\phi)

for a mass

m

attached to an ideal spring of constant

k

, derive an expression for the period

T

in terms of

m

and

k

. State clearly whether the amplitude

A

appears in your final result.