Three blocks A , B and C of equal mass m are placed on a smooth surface as shown. Coefficient of&nbs

English

Gujarati

Hindi

4-2.Friction

hard

Three blocks $A$, $B$ and $C$ of equal mass $m$ are placed on a smooth surface as shown. Coefficient of friction between any block $A, B$ and $C$ is $μ$. The maximum value of mass $D$ so the block $A, B$ & $C$ move without slipping over each other is

A

$\frac{{3m\mu }}{{\mu \, + \,1}}$

B

$\frac{{3m(1 - \mu )}}{{\mu \,}}$

C

$\frac{{3m(1 + \mu )}}{{\mu \,}}$

D

$\frac{{3m\mu }}{{(1 \, - \,\mu)}}$

Solution

Maximum acceleration of $\mathrm{B}$ of $\mathrm{C}$ can be $\mathrm{mgso}$ that they do not slip with each other or $A$

For the system of $(A+B+C)$

$T=3 m a=3 \mu m g$

For $D$

$M g-T=M a$

$\Rightarrow M g-3 \mu m g=M \mu g$

$\Rightarrow M=\frac{3 \mu m}{1-\mu}$

Standard 11

Physics

Share

Similar Questions

The masses of blocks A and B are $m$ and $M$ respectively. Between $A$ and $B$, there is a constant frictional force $F$ and $B$ can slide on a smooth horizontal surface. A is set in motion with velocity while $B$ is at rest. What is the distance moved by A relative to $B$ before they move with the same velocity?

hard

A body $B$ lies on a smooth horizontal table and another body $A$ is placed on $B$. The coefficient of friction between $A$ and $B$ is $\mu $. What acceleration given to $B$ will cause slipping to occur between $A$ and $B$

medium

Find the acceleration of $a_1, a_2$ and $a_3$. If $10\,N$ force $F$ is applied on $3\,kg$ block :-

hard

In figure, two blocks are separated by a uniform strut attached to each block with frictionless pins. Block $A$ weighs $400\,N$, block $B$ weighs $300\,N$, and the strut $A B$ weigh $200\,N$. If $\mu=0.25$ under $B$, determine the minimum coefficient of friction under $A$ to prevent motion.

hard

A $1.0 kg$ block of wood sits on top of an identical block of wood, which sits on top of a flat level table made of plastic. The coefficient of static friction between the wood surfaces is $\mu_1$, and the coefficient of static friction between the wood and plastic is $\mu_2$. A horizontal force $F$ is applied to the top block only, and this force is increased until the top block starts to move. The bottom block will move with the top block if and only if

hard