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anirudh dutta
Jul2-10, 12:45 PM
1. The problem statement, all variables and given/known data
a heap of chain is lying on a table with a hole. A small part of chain is released through the hole.calculate the velocity as a function of the length of the chain hanging vertically.



[2. Relevant equations



3. The attempt at a solution
if I take a mass element dm at a distance x from the hole,
then the force acting on it is
dF= (dm)g

then the acceleration is dF/m. this is equal to dV/dx

I am stuck now.


{ans is (2/3gy)1/2 }

Doc Al
Jul2-10, 01:26 PM
Hint: Consider the force acting on the entire length of the chain that is hanging vertically.

anirudh dutta
Jul2-10, 01:47 PM
tried but didn't work

Doc Al
Jul2-10, 02:01 PM
tried but didn't work
Show what you tried.