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Grade 12th PassIIT JEE Entrance Exam

A uniform chain of mass 3m and length 3l is placed on a smooth pulley as shown. Due to slight disturbance right side chain has started to move down, then reaction of pulley when right side part of chain has length 3l/2

Question image for A uniform chain of mass 3m and length 3l is placed
Profile image of M srinivas
8 Years agoGrade 12th Pass
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1 Answer

Profile image of Arun
6 Years ago
Weight of chain of length "x" =(M/Lx)g
 
Amount of work done in moving dx to the top
dW = F→. dx→
 
      =F.dx   = (MLx)gdx
 
The total amount of work done in moving the one third length of the hanging chain on the table will be
W=∫L/3 - 0 MLxgdx = M / Lg
 
∫L / 3 - 0 xdx
 
= M/ Lg[x^2 / 2] L/3 - 0
 
=MgL / 18
 
Hence the work required to pull the hanging part on the table is MgL / 18.
 
 

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