Question

Four particles \(P,Q,R\) and \(S\) of masses \(m,m,m\) and \(2m\) respectively are kept at the four corners of a square of side \(\sqrt{2}\,\text{m}\). The distance of the centre of mass of the system of particles from the particle \(S\) is

• A. \(1.2\,\text{m}\)
• B. \(0.8\,\text{m}\)
• C. \(0.6\,\text{m}\)
• D. \(0.4\,\text{m}\)

Hint:

For particles, \[ \boxed{ x_{CM}=\frac{\sum m_ix_i}{\sum m_i}, \qquad y_{CM}=\frac{\sum m_iy_i}{\sum m_i}. } \] Choose the heaviest particle as the origin whenever it simplifies the calculations.

Answer 1

The Correct Option is B