Question

A uniform chain of 6 m 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 0.5, the maximum length of the chain hanging from the table is ____m.

Answer 1

We know that,
$(x)gλ = μ(6 – x) gλ$
Where,
x = length of hanging part
$⇒ x = 3 – 0.5x$
$⇒ 1.5x = 3$
$⇒ x = \frac {3}{1.5}$
$⇒ x = 2\ m$

So, the answer is $2\ m$.