Finding Centre of Mass of a Chain

AI Thread Summary
To find the center of mass of a chain hanging between two points in a vertical plane, it is important to consider the uniformity of the chain and the relative height of the endpoints. If the endpoints are at different levels, the center of mass will not simply be the midpoint of the chain. The chain's hanging shape affects its center of mass, requiring a more complex analysis than just averaging the endpoints. A diagram would be helpful for visualizing the problem and understanding the distribution of mass along the chain. Ultimately, the center of mass is influenced by the chain's configuration and the vertical forces acting on it.
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Homework Statement


A chain hangs b'n two points in the vertical plane, find its centre of mass. I have no idea where to start.

Homework Equations





The Attempt at a Solution

 
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If it is a uniform chain it should be its mid point...
 
Not if the endpoints are not on the same level.
 
if the endpoints are not at the same level then also its the mid point...Why not...?
 
Because the chain is hanging rather than stretched between the endpoints.
 
OK...i a not exactly getting it...can you post a diagram?
 

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