How to calculate the Center of Mass for a System of Discrete Masses?

Use the formula: $X_{cm} = \frac{m_1x_1 + m_2x_2 + ... + m_nx_n}{m_1 + m_2 + ... + m_n} = \frac{\sum_{i=1}^{n} m_ix_i}{\sum_{i=1}^{n} m_i}$ .

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How to calculate the Center of Mass for a System of Discrete Masses?

Use the formula: $X_{cm} = \frac{m_1x_1 + m_2x_2 + ... + m_nx_n}{m_1 + m_2 + ... + m_n} = \frac{\sum_{i=1}^{n} m_ix_i}{\sum_{i=1}^{n} m_i}$ .

What is the definition of Center of Mass?

The average position of all the mass in an object or system; the balance point.

What does center of mass represent?

The mean position of every section of the object or system, weighted by mass.