Simple Harmonic motion of buoyant force

AI Thread Summary
The discussion centers on a physics problem involving a submerged cylinder in a liquid, where the goal is to demonstrate that its motion is simple harmonic. Key components include calculating the buoyant force using the mass of displaced liquid and establishing the forces acting on the cylinder through a free body diagram. The participant expresses confusion about how to approach the problem, particularly in finding the equilibrium position. Understanding the relationship between the buoyant force and the weight of the cylinder is crucial for solving the problem. The conversation emphasizes the importance of starting with the equilibrium position to analyze the motion effectively.
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Homework Statement


a cylinder is in a deep pool of liquid. it has mass 2kg, diameter 10cm, height 15cm. the density of the liquid is 1.5g/cm^3. The cylinder is submerged up to 12cm, and let go. Show that the resulting motion is simple harmonic.

Homework Equations



x=Acos(wt)

buoyant force = M(of displaced water) * g
 
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Draw a FBD with all forces acting on system.
 
i drew a fbd, and that got me F= F(buoyant)-mg

thats as far as I can get... I've never felt so lost in a physics problem, i don't even know where to start...
 
Try to find the position of equilibrium first.
 

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