real spring?

Question

real spring have mass. will the true period and frequency be larger or smaller than given by the equations for a mass oscillating on the end of an idealized massless spring?explain.

Answer 1

the inertia of the spring will decrease the frequencty of oscillations.

since f=(1/2 pi) sqrt (k/m)

with a rear spring

=(1/2 pi) sqrt (k/(m + ms))

ms- mass of the spring