Question:

Block A of mass 4 kg and block B of mass 6 kg are resting on a horizontal surface as shown in the figure. There is no friction between the block B and the horizontal surface. The coefficient of friction between the blocks is 0.2. If the value of $ g=10\,m/{{s}^{2}}, $ the maximum horizontal force F that can be applied on block B without any relative motion between A and B is

Updated On: Nov 20, 2023
  • 20 N
  • 40 N
  • 60 N
  • 100 N
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The Correct Option is A

Solution and Explanation

We know that $ F=ma $ For combination of blocks $ m=10\,\,kg $ and $ a=2\,\,m/{{s}^{2}} $ $ F=10\times 2 $ $ F=20\,\,N $
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Concepts Used:

Friction

Friction is defined as the resistance offered by the surfaces that are in contact when they move past each other.

Types of Friction

There are four categories of Friction- static friction, sliding friction, rolling friction, and fluid friction. 

Sliding Friction

In Sliding Friction, the weight of the sliding object calculates the amount of sliding friction present between the two objects. The sliding friction is supposed to be greater as the pressure exerted by the heavy object on the surface it slides over is comparably more. 

Rolling Friction

Friction between a circular object and the surface is called as Rolling Friction. It is required to overcome sliding friction is more than the force required to overcome the rolling friction. 

Static Friction

Friction that keeps an object at rest without initiating any relative motion between the body and the surface is termed as Static Friction. For example, a parked car resting on the hill, a hanging towel on the rack. The maximum force of static friction is directly proportional to the normal force.

Fluid Friction

Fluid Friction is the kind of friction that is exerted by the fluid on the object that is moving through a fluid.