A heavy uniform chain lies on a horizontal tabletop. If the coefficient 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

Question

A heavy uniform chain lies on a horizontal tabletop. If the coefficient 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, 20 %, 25 %, 35 %, 15 %

MARKS App · Accepted Answer

Let the length of the chain be l and mass m . Let a part x of the chain can hang over one edge of table having coefficient of friction μ ∴ Pulling force, F = m x l g and friction force, f = μ N = μ m l ( l - x ) g For equilibrium, F = f , hence m x l . g = μ m l l - x g = 0.25 m l l - x g ⇒ x = l 5 or x l = 1 5 = 20 %

Search any question & find its solution

Looking for more such questions to practice?