Question

define centre of mass of any system and write its formula fow two particle system​

Answer 1

Answer:

→RCM=(m1→r1+m2→r2)M(6) (6) R C M → = ( m 1 r 1 → + m 2 r 2 → ) M the point whose position is defined by →RCM R C M → is called the center of mass of two particle system. So, equation 6 gives the center of mass formula for a two particle system at any time t .

Answer 2

Answer:

Centre of mass of a body or system of a particle is defined as, a point at which whole of the mass of the body or all the masses of a system of particle appeared to be concentrated. ... This point is called the centre of mass of the system of particles.

Explanation:

Consider a system consisting of two particles, mass m1 and m2, interacting via a potential V(x1−x2) that only depends on the relative positions of the particles. According to Equations ([ex3]) and ([ex10]), the Hamiltonian of the system is written H(x1,x2)=−ℏ22m1∂2∂x21−ℏ22m2∂2∂x22+V(x1−x2).