The centre of mass of a system of particles d | vedclass

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(A) The position of the centre of mass $(R_{cm})$ of a system of particles is defined by the formula:$R_{cm} = \frac{\sum m_i r_i}{\sum m_i}$From this

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Forces acting on the particles

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(A) The position of the centre of mass $(R_{cm})$ of a system of particles is defined by the formula:$R_{cm} = \frac{\sum m_i r_i}{\sum m_i}$From this formula,it is evident that the centre of mass depends on the masses $(m_i)$ of the particles and their respective positions $(r_i)$.The internal forces acting between particles in a system cancel each other out due to Newton's third law,and external forces affect the motion of the centre of mass,but the definition of the centre of mass itself is purely a geometric property based on mass distribution.Therefore,the centre of mass does not depend on the forces acting on the particles.

The centre of mass of a system of particles does not depend on:

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