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Question

A heavy uniform chain lies on a horizontal table top. If the co efficient of friction between the chain and the table surface is 0.25 , then the maximum fraction of the length of the chain that can hang over one edge of the table is


  1. 25%

  2. 35%

  3. 15%

  4. 20%


Solution

The correct option is D

20%


Chain has a mass ‘m’ and length ‘l’. Let a maximum length x of the chain project over the table. The length of the chain on the table is L – x. Then the pulling force due to the length x should be balanced by the limiting friction acting to the left.

ml×g=μml(lx)g

x=μl1+μ

= 0.251.25

= 0.2

Therefore it is 20%

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