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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?

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There is a lot of detailed analysis in the answers to physics.stackexchange.com/questions/1467/…, none of which you need here. The key phrase is "This motion is approximately a simple harmonic". Throwing random formulae at a problem is not the way to go in physics. Go back to your text (or search on physics.se, we have several treatments) and read about "simple harmonic motion" or "simple harmonic oscillation". There is a simple relationship between load, spring constant and period. – dmckee♦ Mar 19 at 16:18
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I'm going to treat this as a particular homework exercise, which is not something that we are willing to answer. In principle you could ask a conceptual questions about SHO, but that would be a duplicate. – dmckee♦ Mar 19 at 17:28

closed as too localized by joshphysics, dmckee♦ Mar 19 at 17:28

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