Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

A system consists of two particles of masses \( m_1 \) and \( m_2 \). The position of the centre of mass relative to the first particle is at a distance \( d_1 \), and relative to the second particle is at a distance \( d_2 \). If the total distance between them is \( d \), what is the ratio \( d_1 / d_2 \)?

1. \( \frac{m_1}{m_2} \)
2. \( \frac{m_1^2}{m_2^2} \)
3. \( \frac{m_2}{m_1} \)
4. \( \frac{m_1 + m_2}{m_1} \)