Which of the following properties of a mass-on-a-spring system undergoing simple harmonic motion can be changed without affecting the frequency of oscillation?
Amplitude
Spring stillness
Oscillating mass

Respuesta :

Answer: Amplitude

If we are talking about simple harmonic motion, we are talking about waves and in this case the frequency [tex]f[/tex] is related to the period of oscillation [tex]T[/tex] in an inverse proportion.

Now, for a mass-on-a-spring system the period is given by:

[tex]T=2\pi\sqrt{\frac{m}{k}}[/tex]

Where [tex]m[/tex] is the oscillating mass and [tex]k[/tex] the spring constant, which depends on the spring stillness.

As we can see in this equation:

If we change [tex]m[/tex] and [tex]k[/tex] we will affect the period, hence the frequency.

Nevertheless, we do not see any relation with the Amplitude, this means the period (hence the frequency) does not depend on the amplitude.