The two blocks $A$ and $B$ of equal mass are initially in contact when released from rest on the inclined plane. The coefficients of friction between the inclined plane $A$ and $B$ are $\mu_1$ and $\mu_2$ respectively.
Medium
Download our app for free and get startedPlay store
The block with lower value of $\mu$ tend to have greater acceleration down the slope. Hence, if $\mu_{1}>\mu_{2}$ the blocks will always remains in contact and if $\mu_{1}<\mu_{2}$ the blocks will slide down with different accelerations.
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    $Assertion$ : Mountain roads rarely go straight up the slope.
    $Reason$ : Slope of mountains are large, therefore more chances of vehicle to slip from roads
    View Solution
  • 2
    A block of mass $m$ is on an inclined plane of angle $\theta$. The coefficient of friction between the block and the plane is $\mu$ and $\tan \theta>\mu$. The block is held stationary by applying a force $\mathrm{P}$ parallel to the plane. The direction of force pointing up the plane is taken to be positive. As $\mathrm{P}$ is varied from $\mathrm{P}_1=$ $m g(\sin \theta-\mu \cos \theta)$ to $P_2=m g(\sin \theta+\mu \cos \theta)$, the frictional force $f$ versus $P$ graph will look like
    View Solution
  • 3
    When a body slides down from rest along a smooth inclined plane making an angle of $30^{\circ}$ with the horizontal, it takes time $T$. When the same body slides down from the rest along a rough inclined plane making the same angle and through the same distance, it takes time $\alpha {T}$, where $\alpha$ is a constant greater than $1 .$ The co-efficient of friction between the body and the rough plane is $\frac{1}{\sqrt{{x}}}\left(\frac{\alpha^{2}-1}{\alpha^{2}}\right)$ where ${x}=..... .$
    View Solution
  • 4
    In figure, two blocks $M$ and $m$ are tied together with an inextensible and light string. The mass $M$ is placed on a rough horizontal surface with coefficient of friction $\mu$ and the mass $m$ is hanging vertically against a smooth vertical wall. The pulley is frictionless. When the downward acceleration of the elevator becomes equal to $g$, then
    View Solution
  • 5
    Two particles of equal masses are revolving in circular paths of radii ${r_1}$ and ${r_2}$ respectively with the same speed. The ratio of their centripetal forces is
    View Solution
  • 6
    Statement $I :$ A cyclist is moving on an unbanked road with a speed of $7\, kmh ^{-1}$ and takes a sharp circular turn along a path of radius of $2 \,m$ without reducing the speed. The static friction coefficient is $0.2$ . The cyclist will not slip and pass the curve $\left( g =9.8\, m / s ^{2}\right)$

    Statement $II :$ If the road is banked at an angle of $45^{\circ}$, cyclist can cross the curve of $2\, m$ radius with the speed of $18.5\, kmh ^{-1}$ without slipping.

    In the light of the above statements, choose the correct answer from the options given below.

    View Solution
  • 7
    A block is projected with speed $20 \,m / s$ on a rough horizontal surface. The coefficient of friction $(\mu)$ between the surfaces varies with time $(t)$ as shown in figure. The speed of body at the end of $4$ second will be ............ $m / s$ ( $g=$ $10 \,m / s ^2$ )
    View Solution
  • 8
    Consider a block and trolley system as shown in figure. If the coefficient of kinetic friction between the trolley and the surface is $0.04$ , the acceleration of the system in $\mathrm{ms}^{-2}$ is :

    (Consider that the string is massless and unstretchable and the pulley is also massless and frictionless):

    View Solution
  • 9
    When two surfaces are coated with a lubricant, then they
    View Solution
  • 10
    A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force $2\,N$ down the inclined plane. The maximum external force up the inclined plane that does not move the block is $10\,N.$ The coefficient of static friction between the block and the plane is : [Take $g = 10\,m/s^2$ ]
    View Solution