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COMEDK · Physics · 7. Center of Mass Momentum and Collision

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

  1. A Does not depend on the shape and size of the system
  2. B Depend on the choice of coordinates
  3. C Depends on the distribution of its mass.
  4. D Remains the same in any translatory motion
Verified Solution

Answer & Solution

Correct Answer

(C) Depends on the distribution of its mass.

Step-by-step Solution

Detailed explanation

The position of the centre of mass of a system of particles is defined by the vector \(\vec{R}_{cm} = \dfrac{\sum m_i \vec{r}_i}{\sum m_i}\). This definition shows that the location of the centre of mass is determined by the individual masses \(m_i\) and their respective…