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COMEDK2025PhysicsCenter of Mass, Momentum and CollisionActual

Select the correct statement from the following: The position of the centre of mass of a system:

Options

  1. ADoes not depend on the shape and size of the system
  2. BDepend on the choice of coordinates
  3. CDepends on the distribution of its mass.
  4. DRemains the same in any translatory motion

Correct answer

C. Depends on the distribution of its mass.

Step-by-step solution

The position of the centre of mass of a system of particles is defined by the vector R _ cm = m_i r _i m_i . This definition shows that the location of the centre of mass is determined by the individual masses m_i and their respective position vectors r _i relative to the chosen origin. Since the position vectors r _i depend on the distribution of mass within the system, the centre of mass is fundamentally a property of the mass distribution of the body or system. While the numerical coordinates of the centre of ma

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