Question

Q. The centre of mass of a system of two particles of masses  m1 and m2 is at a distance  d1 from  m1 and at a distance d2 from mass m2 such that​

Answer 1

Answer:

$\frac{m_1d_1+m_2d_2}{m_1+m_2}$

Explanation:

We are given that two particles

Mass of one particle=$m_1$

Mass of second particle=$m_2$

Distance of one particle from center of mass=$d_1$

Center of mass of second particle from center of mass=$d_2$

We know that

CM=$\frac{m_1x_1+m_2x_2}{m_1+m_2}$

Substitute the values then we get

Center of mass of system=$\frac{m_1d_1+m_2d_2}{m_1+m_2}$

Hence, CM of the system=$\frac{m_1d_1+m_2d_2}{m_1+m_2}$