Question

Define centre of mass and expression for centre of mass of two particle system

Answer 1

Answer:

Explanation:

The centre of mass is an imaginary point where one can assume the entire mass of the given system or object to be positioned. Consider a system consisting of two point masses m1 and m2, whose position vectors at a time t with reference to the origin O of the inertial frame are respectivel

Answer 2

Center of mass is the imaginary point where whole mass of the body is supposed to be concentrated.

Force= MA ( M = mass of the body

A= acceleration)

F(net)= F1+F2

MA = m1a1+m2a2

MdV/dt = m1dv1/ dt + m2dv2/ dt

Differentiate both sides with respect to change in time

Md^2R / dt^2= m1d^2r1 /dt^2 + m2d^2r2/dt^2

( dv/dt= Rcm = center of mass)( r1 & r2 are the distance of Central rotational axis from the center)

MRcm = m1r1 + m2r2

Rcm = m1r1+ m2r2/ M

(Special case

If m1=m2=M

Then ,

Rcm = M( r1+r2)/M

Rcm=r1+r2