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A uniform chain of length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction between the chain and the surface of the table is , the maximum length of the chain hanging from the table is _____ .
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Let, mass per unit length of the chain and length of mass hanging through the table is .

Normal force applied by the table on the chain will be, .
Tension developed in the chain will balance the gravitational force acting in the downward direction, .
Maximum limiting force possible for the part of the table,
For equilibrium,
,
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