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Grade 12Mechanics

A uniform chain of mass m and length l hangs from a hook.The amount of work required to raise the middle link to hook is?

Profile image of Mitt shah
8 Years agoGrade 12
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1 Answer

Profile image of Arun
8 Years ago
 

unit length of rope is M/L

 

given L/3 part of rope is hanging

 

we have to solve using integration methods, lets say 'x' part of rope is consided with an element 'dx' which is pulled up with limits from 0 to L/3

 

Potential energy = mgh

 

here dE= integral of ( Mx/L*g*dx)

 

        E = integral of ( M/L*g*x.dx) limits from 0 to L/3

 

    P.E = MgL/18