Question

A uniform chain of length I mis placed on a rough horizontal table with a part
of it hanging over the edge of the table. It is found that if the length of the
hanging part is 25 cm or more, the chain starts sliding downwards. Which of
the following are correct?
(A) The coefficient of friction between the table and the chain is 1/3
(B) The coefficient of friction between the table and the chain is 1/4
(C)
The coefficient of friction between the table and the chain is 2/3
(D)
The coefficient of friction between the table and the chain is 3/4​

Answer 1

Answer:

It is found that if the length of the hanging part is 25 cm or more, the chain starts sliding downwards. ... (A) The coefficient of friction between the table and the chain is 1/ 3

Answer 2

The coefficient of friction between the table and the chain is 1/4

Therefore, option (B) is correct.

Explanation:

Note: It seems like the part on the table is 1 m long

The weight of the 25 cm length part should be equal to the frictional force acting on the chain

If the linear mass density of the chain is $\gamma$

Then

Mass of the chain = $\gamma \times 1$

Frictional force

$F=\mu N$

$\implies F=\mu \gamma g$

Weight of the 0.25 m part

$W=0.25\gamma g$

$F=W$

$\implies \mu\gamma g=0.25\gamma g$

$\implies \mu=0.25=1/4$

Therefore, option (B) is correct.

Hope this answer is helpful.

Know More:

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