ExamBro
ExamBro
COMEDK · Physics · 5. Laws of Motion

A uniform chain of length \(L\) is lying partly on a table, the remaining part hanging down from the edge of the table. If the coefficient of friction between the chain and the table is \(0.5\), what is the minimum length of the chain that should lie on the table, to prevent the chain from slipping down to the ground?

  1. A \(L / 3\)
  2. B \(L / 2\)
  3. C \(2 L / 3\)
  4. D \(3 L / 4\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(2 L / 3\)

Step-by-step Solution

Detailed explanation

Let length of chain lying the table be \(y\). Mass per unit length of the chain \(=\frac{M}{L}\) Mass of the chain lying on the table, \(M^{\prime}=\frac{M}{L} \cdot y\) Mass of the length \((L-y)\) of hanging chain \(=\frac{M}{L}(L-y)\) At equilibrium, Friction force between…