The four particles of masses ` m , 3m, 2m` and `4m` are placed on the vertices of a sqare of side `L`. Locate the center of mass

Explanation

First , choose the reference axes , get origin , as shown.
`{:("Point mass",x,y),(m,0,0),(3m,L,0),(2m,L,L),(4m,0,L):}`
`x_(c.m.) = ( m xx 0 + 3m xx L + 2m xx L + 4m xx 0)/( m + 3m + 2m + 4m + 10 m)`
`y_(c.m.) = ( m xx 0 + 3m xx 0 + 2m xx L + 4m xx L)/(10 m)`
`= ( 6 mL)/(10 m) = ( 3 L)/(5)`
Coordinates of `c.m. -= ((L)/(2) , ( 3L)/(5))`