0

Guest

Courses New
  • Forum
  • AIPMT
  • a chain is lying on a rough table with a...

a chain is lying on a rough table with a friction 1/n of its length hanging down from the edge of table if it is just of the point of sliding down from the table then the coefficient of friction between the table and the chain is

a chain is lying on a rough table with a friction 1/n of its length hanging down from the edge of table if it is just of the point of sliding down from the table then the coefficient of friction between the table and the chain is

Grade:11

1 Answers

Rajdeep
231 Points
5 years ago
HELLO THERE!
 
Let the total length of the chain be L.
Mass of length L = M.
 
So, mass of unit length of the chain = \frac{M}{L}
 
It is given that,  \frac{1}{n} of the chain is hanging down from the table.
 
So, length of chain that is hanging = \frac{L}{n}
 
Mass of the hanging part = \frac{M}{L}\times \frac{L}{n} = \frac{M}{n}
 
Length of the chain which is on the table = L - \frac{L}{n} = L(1-\frac{1}{n}) = L(\frac{n-1}{n})
 
Mass of the chain which is on the table = \frac{M}{L} \times L(\frac{n-1}{n}) = M(\frac{n-1}{n})
 
Now, Force acting downwards due to weight of the chain will be equal to the frictional force acting on the part of chain placed on the table.
 
Force acting downwards due to weight of the chain = \frac{M}{n}g
 
Frictional force acting on the chain which is on the table = M(\frac{n-1}{n})\mu
 
Now,
M(\frac{n-1}{n})\mu = \frac{M}{n}g \\\\or, \mu = \frac{g}{n-1}
 
This is your answer...
THANKS!

Think You Can Provide A Better Answer ?

Other Related Questions on AIPMT

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More