First slide

Friction on horizontal surface

Question

A heavy uniform chain lies on horizontal table top. If the coefficient of friction between the chain and the table surface is 0.5, the maximum percentage of the length of the chain that can hang over one edge of the table is

Moderate

A

20%
B

33.3%
C

76%
D

50%

Solution

$weight of the hanging part = frictional force on the table if \frac{l}{n} is hanging \frac{mgl}{n} = μmg (l - \frac{l}{n}) 1 = μ (n - 1) μ = 0.5 n = 3 so \frac{1}{3} is hanging$

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