Part A - Finding the Cartesian components of a force described by direction angles Find the...

 

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Part A - Finding the Cartesian components of a force described by direction angles Find the Cartesian components of force P acting in the x, y, andz directions given P = 20.0 N, a = 112.0°, B = 78.0°, and y = 25.4°. Recall that a is the angle between the vector and the x axis, B is the To use the dot product to find the components of forces acting in arbitrary directions. angle between the vector and the y axis, and y is the angle between the vector and the z axis. A three-legged structure is shown below. It is attached to the ground at points B = (4.88, 0, 0) and C = (-4.88, 0,0) and connected to the ceiling at point A = (-5.70, 3.46, 5.38). The three legs connect at point D = (0, 2.77, 2.00), where two forces, F and P, act. Force F is given by F = 8.40 i- 13.5 j+ 23.0 k N; P has magnitude 20.0N and direction angles a = 112.0°, B = 78.0°, and y = 25.4° for the x, y, and z axes, respectively. Express your answers, separated by commas, to three significant figures. H Heli Re P = i Nj N,k N (Figure 1) Submit Hints My Answers Give Up Review Part Part B - Finding the angle between forces Find the angle 0 between forces F and P. Express your answer to three significant figures in degrees. H Heli Be Submit Hints My Answers Give Up Review Part Part C - Determining the force along a member Determine the magnitude, FDA, acting along member DA, due to the applied force F = 8.40 i – 13.5 j+23.0 k N. Express your answer to three significant figures and include the appropriate units. Figure 1 +of 1 123+ FDA= Value Units A Submit Hints My Answers Give Up Review Part Part D - Finding the component of a force perpendicular to a direction F Given F = 8.40 i – 13.5 j + 23.0 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. ) y Express your answers, separated by commas, to three significant figures. ? B H Heli Be FIDA= i N,j N,k N Part A - Finding the Cartesian components of a force described by direction angles Find the Cartesian components of force P acting in the x, y, andz directions given P = 20.0 N, a = 112.0°, B = 78.0°, and y = 25.4°. Recall that a is the angle between the vector and the x axis, B is the To use the dot product to find the components of forces acting in arbitrary directions. angle between the vector and the y axis, and y is the angle between the vector and the z axis. A three-legged structure is shown below. It is attached to the ground at points B = (4.88, 0, 0) and C = (-4.88, 0,0) and connected to the ceiling at point A = (-5.70, 3.46, 5.38). The three legs connect at point D = (0, 2.77, 2.00), where two forces, F and P, act. Force F is given by F = 8.40 i- 13.5 j+ 23.0 k N; P has magnitude 20.0N and direction angles a = 112.0°, B = 78.0°, and y = 25.4° for the x, y, and z axes, respectively. Express your answers, separated by commas, to three significant figures. H Heli Re P = i Nj N,k N (Figure 1) Submit Hints My Answers Give Up Review Part Part B - Finding the angle between forces Find the angle 0 between forces F and P. Express your answer to three significant figures in degrees. H Heli Be Submit Hints My Answers Give Up Review Part Part C - Determining the force along a member Determine the magnitude, FDA, acting along member DA, due to the applied force F = 8.40 i – 13.5 j+23.0 k N. Express your answer to three significant figures and include the appropriate units. Figure 1 +of 1 123+ FDA= Value Units A Submit Hints My Answers Give Up Review Part Part D - Finding the component of a force perpendicular to a direction F Given F = 8.40 i – 13.5 j + 23.0 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. ) y Express your answers, separated by commas, to three significant figures. ? B H Heli Be FIDA= i N,j N,k N

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Solution Given data Coordinates of B 488 0 0 Coordinates of C 488 0 0 Coordinates of A 570 346 5... View the full answer