(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Simple Harmonic Motion - Floating Object

1. The problem statement, all variables and given/known data

The problem states that an object is pushed down and released. It is floating.

The density is P(block) and the area is A and its height is h

The fluid's density is P(fluid)

The Problem asks to show that it executes simple harmonic motion with angular frequency

w = sqrt( [P(fluid)g] / [P(block)h] )

2. Relevant equations

I know Fnet=ma=F(buoyancy)=(rho)(g)(V) (rho is P(block) i think)

and a = -w^2 h

and V = Ax (x is the vertical displacement of the block as its pushed down)

3. The attempt at a solution

I rearrange the equation to get

-w^2 = ( [rho g V] / mh )

I know I must be close, but I'm not too sure how to incorporate the P(fluid) and essentially switch rho(block) from the top to the bottom

Any help would be appreciated Thanks

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# Homework Help: Simple Harmonic Motion - Floating Object

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