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a uniform chain of mass M and length L has a part L/3 hanging over the edge of table. if the friction between the table and the chain is neglected the kinetic energy as i completely falls of the table is

a uniform chain of mass M and length L has a part L/3 hanging over the edge of table. if the friction between the table and the chain is neglected the kinetic energy as i completely falls of the table is 

Grade:11

1 Answers

Arun
25750 Points
5 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

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