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.

Question

Quizplus · Accepted Answer

Given the distribution of masses and their positions, it is not possible to balance the system with the center of mass at the origin due to the constraints of the circular platform and the positions of the other two children.

Three Children Acrobats Are Standing Still on a Circular Horizontal