Question:

The position of the centre of mass of a cube of uniform mass density will be at

Updated On: Jul 7, 2022
  • the centre of one face
  • the centre of the interaction of diagonals of one face
  • the geometric centre of the cube
  • the edge of a cube
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The Correct Option is C

Solution and Explanation

As the mass density of the cube is uniform, therefore its centre of mass lies at its geometric centre.
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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.