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 25% 35% 15% 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(l–x)g x=μl1+μ = 0.251.25 = 0.2 Therefore it is 20%

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