What is the Equilibrium Angle of an Immersed Wooden Stick?

AI Thread Summary
The discussion centers on determining the equilibrium angle θ of a uniform wooden stick immersed in water, where the stick's density (d) is less than that of water (D). Participants explore the nature of buoyant force, questioning whether it acts at the midpoint of the stick. The problem presents multiple-choice options for the tangent of the angle θ, leading to confusion about the correct approach to solve it. Understanding the principles of buoyancy is crucial for finding the solution. The conversation emphasizes the importance of applying buoyancy concepts to analyze the equilibrium state of the stick.
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Homework Statement


A uniform wooden stick of density d is completely immersed in water of density D (D>d). One end of the stick is free to rotate about a hinge which is attached to the wall of the container. In equilibrium the stick the stick makes an angle θ then tanθ is-
(a)0

(b)d/D

(c)1-d/D

(d)D/d

Homework Equations



related to buoyancy

The Attempt at a Solution


First of all i am not understanding the nature of buoyant force. In this case can we consider it to act at the middle of the rod?
 
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