Question

The position of two point masses are shown in the figure


The position of centre of mass is

• A. $(10,0)$
• B. $(6,0)$
• C. $(12,0)$
• D. $(8,0)$

Answer 1

The correct option is D $(8,0)$

The center of mass for a two particle system is given by,

$x_{\text{cm}}=\frac{x_1{m}_1+x_2{m}_2}{m_1+m_2}$

$=\frac{4\times 4+2\times 16}{4+2}$

$=\frac{16+32}{6}=\frac{48}{6}=8$

$(x_{\text{cm}},y_{\text{cm}})=(8,0)$