Learning Goal: To understand the concept of moment of a force and how to calculate it using a vector formulation. A man wishes to spin a merry-go-round in the x-y plane centered at the origin (0.000, 0.000, 0.000) Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector = (-1/3)i+ (2/3)j + (2/3)k. He pulls with a force F = 30.0 1b from point A [(3.00, 4.00, 0.000) ft]Part A What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin? Express your answers numerically in pound-feet to three significant figures separated by commas. View Available Hint(s) AEd It vec Mz, My, M. = Ib . ft