Question:

A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force  \(F=\sqrt xN\) as shown in figure. 
The value of x = ______.

Updated On: Apr 19, 2025
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Correct Answer: 12

Solution and Explanation

A block of mass 200 g is kept stationary
\(F cos60° = mg sin60°\)
\(F=\frac{1}{2}=0.210×\frac{\sqrt3}{2}\)
\(⇒F=2\sqrt3\)
\(⇒F=\sqrt {12}N\)
\(∴ x = 12\)
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Concepts Used:

Center of Mass

The center of mass of a body or system of a particle is defined as a point where the whole of the mass of the body or all the masses of a set of particles appeared to be concentrated.

The formula for the Centre of Mass:

Center of Gravity

The imaginary point through which on an object or a system, the force of Gravity is acted upon is known as the Centre of Gravity of that system. Usually, it is assumed while doing mechanical problems that the gravitational field is uniform which means that the Centre of Gravity and the Centre of Mass is at the same position.