Three Children Acrobats Are Standing Still on a Circular Horizontal

Multiple Choice

Three children acrobats are standing still on a circular horizontal platform of radius 4 m suspended at the center.The origin of the xy - Cartesian coordinate system is assumed to be in the center of the circular platform.A 30-kg child is located at (1 m,2 m) ,and a 40-kg child is located at (2 m,- 3 m) .Assuming the children stand still on their positions,where must a 20-kg child acrobat be located so that the center of mass of the system consisting of the three children is at the origin and the platform is balanced?

A) (-0.5 m,2 m)
B) (0.5 m,-2 m)
C) (-0.5 m,1 m)
D) (0.5 m,1 m)
E) Equilibrium impossible in this configuration.