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A chain is placed on a rough table, partially hanging, as shown in the figure. The coefficient of static friction between the chain and the table is μ = 0.4 . If the maximum possible length of the hanging part is x and the length of the chain is L , then what is the value of L x ?

Correct answer

3.5

Step-by-step solution

If x = length suspended m 1 = λ x (mass of hanging part) m 2 = λ ( L - x ) (mass of the part kept on the table) Then for balance, m 1 g = μ s m 2 g λ x = 0.4 λ ( L - x ) x = 0.4 L - 0.4 x 1.4 x = 0.4 L L x = 1 .4 0 .4 = 3 . 5

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