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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.

    • 29 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)

                             

                                           

     

     

     

                         

     

    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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