37 A system consists of three particles with masses of 1
kg, 2 kg, and 3 kg, respectively. The particles are
located at positions (-1, 0), (2, 0), and (0, 4) on the xy-
plane.
(a) Find the coordinates of the center of mass of the
system.
(b) (b) Find the velocity of the center of mass if the
particles have velocities of (-2, 0), (1, 0), and (0, -3)
m/s, respectively.