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Acceleration Of Block On Horizontal Smooth Surface - Practice Questions & MCQ

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

  • 2 Questions around this concept.

Solve by difficulty

At time t=0, a force F=k t where k is any constant, is exerted on a small body with mass m, which is initially at rest on a frictionless horizontal surface. The resultant direction of the applied force forms an angle of 90^{\circ} with the horizontal plane. Find the velocity of body at the moment of its breaking off plane.

Concepts Covered - 1

Acceleration of Block on horizontal smooth surface
  • Free Body Diagram (FBD)

In this diagram, the object of interest is isolated from its surroundings and the interactions between the object and the surroundings are represented in terms of forces.

After drawing FBD, Choose the axes and write the equation of motion. This is very helpful while solving questions.

Example- 

  1. When the pull is horizontal, and no friction

                   

Balance forces

the body is moving in the x-axis

\because F_{y}=0
R=mg     &    F= ma

a=\frac{F}{m}
 

  1. Pull Acting at Angle (Upward)

                    

Balancing forces in both X and Y direction,

R+Fsin\theta =mg

R=mg-Fsin\theta along Y-axis

Fcos\theta =ma along X-axis

a=\frac{Fcos\theta }{m}

  1. Push Acting at Angle (Downward)

                    

Balancing forces in both X and Y direction,

R=mg+Fsin\theta along Y-axis

a=\frac{Fcos\theta }{m} along X-axis

 

Study it with Videos

Acceleration of Block on horizontal smooth surface

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