How to Find the Amplitude in SHM with Only K and Mass?

[swede5670]

Homework Statement

If provided only the spring constant K and the mass of an object undergoing simple harmonic motion how do you find the amplitude?

Homework Equations

Angular Frequency = sqrt (k/m)
Period = 1/t

The Attempt at a Solution

Using the two equations above you can derive $$\omega$$ period, and frequency. This gives you $$\omega$$, period, frequency, mass and the spring constant. Is it possible to solve for the amplitude with these variables?

 

[Carid]

Amplitude is a function of the energy in the SHM system and we don't have any information about that.

TotalEnergy = 0.5*K*Amplitude²