Acceleration Of Block On Horizontal Smooth Surface MCQ - Practice Questions with Answers

Updated on Sep 25, 2023 25:23 PM

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  • 4 Questions around this concept.

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A force of 50N acts in the direction as shown in fig. The block of mass of 5kg resting on a smooth horizontal surface . What is the acceleration of the block?

Two blocks of mass 5 kg and 5 kg are connected by a string of mass 2 kg as shown in fig. Point Q is the midpoint of the string. A pulling force of 24 N is applied on block 5 kg at an angle of $60^{\circ}$ with horizontal. The tension (in N ) at point Q is (all surfaces are frictionless).

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

 

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Acceleration of Block on horizontal smooth surface

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