A gymnast bouncing a trampoline is performing vertical oscillations. If he bounces very gently, his feet remain in contact with the trampoline at all times. This motion is approximately a simple harmonic and may be modeled by the that of a mass on a spring. For a gymnast of mass 75 kg on one particular trampoline, the frequency of these oscillations is 1.5 Hz. What is the calculate the effective spring constant k of the trampoline.
I've been at this for hours and tried
F = ma,
F = k delta x,
v = lambda f,
f = 1/t but nothing seems to help work it out. Can anyone help please?