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A threelegged structure is shown below. It is attached to the ground at points B = (4.41 , U, 0) and C = [4.41 ,

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A threelegged structure is shown below. It is attached to the ground at points B = (4.41 , U, 0) and C = [4.41 , 0, O) and connected to the ceiling at point A = [5.33 . 3.15 , 5.31]. The three legs. connect at point D = (O, 2.61, 2.130). where two forces. F and P, act. Force F is given by F = 7.60 i 19.0j i 25.8 k N; P has magnitude 25.0 N and direction angles or = 113.50, B = 89.I[i, and *7 = 235 for the X, y. and zaxes, respectively.{F_igLe1) \fPart A - Finding the Cartesian components of a force described by direction angles Find the Cartesian components of force P acting in the x, y, and z directions given P = 25.0 N, a = 113.5, B = 89.0, and y = 23.50. Recall that o is the angle between the vector and the x axis, B is the angle between the vector and the y axis, and y is the angle between the vector and the z axis. Express your answers, separated by commas, to three significant figures.Part B - Finding the angle between forces Find the angle 3 between forces F and P. Express your answer to three significant figures in degrees. Part C - Determining the force along a member Determine the magnitude, FDAr acting along member DAJ due to the applied force F = 7.60 i 19.0j + 25.8 k N. Express your answer to three significant figures and include the appropriate units. Part D - Finding the component of a force perpendicular to a direction Given F = 7.60 i - 19.0 j + 25.8 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 = F1 + F ) with respect to DA equals F. Express your answer in component form. Express your answers, separated by commas, to three significant figures

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