Physics: Highschool level (oscillatory motion and mechanical waves)

Question

A horizontal mass-spring system has a mass M attached to a spring that oscillates back and forth at a frequency of 0.800 Hz. Determine the frequency in the following cases.

(a) The mass is doubled.

(b) The amplitude is tripled.

Answer 1

The frequency f = k/(2mπ) in hertz. Thus if the mass is doubled then the frequency is divided by 2 yielding a new frequency of .4 Hz.

Changing the amplitude does not change the frequency.