Question

A three-legged structure is shown below. It is attached to the ground at points B (3.33, 0, 0) and C (-3.33, 0, 0) and connected to the ceiling at point A (-4.19, 4.96,4.37). The three legs connect at point D (0,4.44, 4.00), where two forces, F and P, act. Force F is given by F- 8.80 i-10.5j+22.8 k N; P has magnitude 40.0 N and direction angles α--132.0% β-87.0° , and γ-: 42.20 for the x, y, and z axes, respectively. (Figure 1) Figure

Given F=8.80 i −10.5 j +22.8 kN, find the component of F that acts perpendicular to member DA such that the vector addition of the perpendicular and parallel components of F (F=F⊥+F∥) with respect to DA equals F. Express your answer in component form.

Express your answers, separated by commas, to three significant figures.

Answer 1