Question

a chain of length L is partly lying on the table and partly hanging outside the table if the co efficient of static friction between the chain and table be mews what maximum length of the chain can be hanging so that the part of the chain on the table does not slide​

Answer 1

Answer:

Let M be the mass of the chain and L its length.

If a length l hangs over the edge of the table, the force pulling the chain down is  

L

Ml

​

g.

The force of friction between the rest of the chain of lenth (L−l) and the table is  

L

μM(L−l)

​

g.

For equilibrium the two forces must be equal:

⇒  

L

Ml

​

g=  

L

μM(L−l)

​

g