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

Which of the following statement is true regarding the centre of mass of a system?

  1. A The centre of mass of a body always lies inside the body.
  2. B The centre of mass depends on the size and shape but does not depend on the distribution of mass of the body.
  3. C The centre of mass depends on the coordinate system.
  4. D The centre of mass of a system depends on the size and shape of the body but independent of the co-ordinate system
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Answer & Solution

Correct Answer

(D) The centre of mass of a system depends on the size and shape of the body but independent of the co-ordinate system

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Detailed explanation

The centre of mass of a system is defined by the position vector \(\vec{R}_{cm} = \dfrac{\sum m_i \vec{r}_i}{\sum m_i}\). The centre of mass is a point that represents the average position of the mass in a system. It depends on the distribution of mass, the size, and the shape…
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