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Acceleration Of Block On Smooth Inclined Plane - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Acceleration of Block on Smooth Inclined Plane is considered one of the most asked concept.

  • 33 Questions around this concept.

Solve by difficulty

Two fixed frictionless inclined planes making an angle 30° and 60° with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B?

In the figure shown the acceleration of A is $\vec{a}_A=15 i+15 j$ then the acceleration of $B$ is: (A remains in contact with B)

                         

                                       

 

 

 

                     

For no friction to act on a block kept on an accelerating wedge as shown in figure, acceleration of the wedge should be

 

in above case, what is  Component of acceleration along y or perpendicular to  inclined plane?

The system shown in figure are in equilibrium . What is the reading of spring balance . (g = 10 m/s 2)  

Concepts Covered - 1

Acceleration of Block on Smooth Inclined Plane
  1. When an Inclined Plane is at rest

 

                           

$R=m g \cos \theta$ along with normal to the incline $m g \sin \theta=m a$ along the incline $a=g \sin \theta$

 

  1. When an Inclined Plane is given Acceleration 'b'

$
\begin{aligned}
& R=m g \cos \theta+m b \sin \theta \\
& m a=m g \sin \theta-m b \cos \theta \\
& a=g \sin \theta-b \cos \theta
\end{aligned}
$

* Condition for the body to be at rest relative to the inclined plane.

$
\begin{aligned}
a & =g \sin \theta-b \cos \theta=0 \\
b & =g \tan \theta
\end{aligned}
$
 

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Acceleration of Block on Smooth Inclined Plane

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