During an earthquake, a floor oscillates horizontally in approximately simple harmonic motion. Assume it oscillates at a single frequency with a period of 0.84 s.
After the earthquake, you are in charge of examining the video of the floor motion and discover that a box on the floor started to slip when the amplitude reached 15 cm. From your data, determine the coefficient of static friction between the box and the floor.
Maximum Fs = mg(coef of fric)
x=A since we can set t=0 since we are finding maximum accleration, so F=kA
w = 2pi/T
The Attempt at a Solution
I realize that the maximum force of static friction equals the force of the oscillation. We can either relate that as Fs = ma or Fs = kx. However, both of those contain two unknowns. I cannot seem to find a way to get rid of either the k or m term, which is my problem.