(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the period of small oscillations of a water pogo, which is a stick of mass m in the shape of a box (a rectangular parallelepiped.) The stick has a length L, a width w and a height h and is bobbing up and down in water of density ρ. Assume that the water pogo is oriented such that the length L and width w are horizontal at all times. Hint: The buoyant force on an object is given by Fbuoy = ρVg where V is the volume of the medium displaced by the object and ρ is the density of the medium. Assume that at equilibrium, the pogo is floating.

2. Relevant equations

Fbuoy = ρVg.

Fg = mg

3. The attempt at a solution

So I created the general box (or "parallelepiped") and set it's dimensions as L, w, and h. I let the height underneath the water be "a," where a is some fraction of h. Then, the buoyant force is Fbuoy = ρLwag. But how do I extract the period from this equation?

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# Homework Help: F = ma 2007 Exam - Question #25 - SHM with a box in water

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