In general form,what are the coordinates of t | vedclass

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(A) The centre of mass of a system of particles is defined as the weighted average position of all the particles in the system.For a rigid body consis

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$\vec{R} = \frac{1}{M} \sum m_i \vec{r}_i$

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(A) The centre of mass of a system of particles is defined as the weighted average position of all the particles in the system.For a rigid body consisting of $n$ particles with masses $m_1, m_2, ..., m_n$ located at position vectors $\vec{r}_1, \vec{r}_2, ..., \vec{r}_n$,the position vector of the centre of mass $\vec{R}$ is given by:$\vec{R} = \frac{m_1\vec{r}_1 + m_2\vec{r}_2 + ... + m_n\vec{r}_n}{m_1 + m_2 + ... + m_n}$This can be written in summation notation as:$\vec{R} = \frac{1}{M} \sum_{i=1}^{n} m_i \vec{r}_i$where $M = \sum m_i$ is the total mass of the rigid body.

In general form,what are the coordinates of the centre of mass of a rigid body?

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