Review Learning Goal: To use the dot product to find the components of forces acting in...

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Review Learning Goal: To use the dot product to find the components of forces acting in arbitrary directions. A three-legged structure is shown below. It is attached to the ground at points B = (3.65, 0, 0) and C(-3.65, 0, 0) and connected to the ceiling at point A = (-4.75, 4.78, 6.00). The three legs connect at point D= (0, 4.25, 2.00), where two forces, F and P, act. Force F is given by F 7.00 i 12.5 j + 29.2 k N; P has magnitude 30.0 N and direction angles a=111.0, =48.0, and y=49.4 for the x, y, and z axes, respectively. (Figure 1) 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, and z directions given P = 30.0 N, a = 111.0, = 48.0, and y=49.4. Recall that a is the angle between the vector and the x axis, 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. View Available Hint(s) vec P = ? iN,j N,k N Figure B F A 1 of 1 Submit Part B - Finding the angle between forces Find the angle between forces F and P. Express your answer to three significant figures in degrees. View Available Hint(s) vec 0 = ? Pearson ? Review Learning Goal: To use the dot product to find the components of forces acting in arbitrary directions. A three-legged structure is shown below. It is attached to the ground at points B = (3.65, 0, 0) and C = (-3.65, 0, 0) and connected to the ceiling at point A = (-4.75, 4.78, 6.00). The three legs connect at point D= (0, 4.25, 2.00), where two forces, F and P, act. Force F is given by F 7.00 i 12.5 j + 29.2 k N; P has magnitude 30.0 N and direction angles Part C - Determining the force along a member Determine the magnitude, FDA, acting along member DA, due to the applied force F = 7.00 i - 12.5 j +29.2 k N. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) a = 111.0, =48.0, and y = 49.4 for the x, y, and z axes, respectively. (Figure 1) FDA Value Units Figure Submit 1 of 1 ? B F Z Part D - Finding the component of a force perpendicular to a direction Given F = 7.00 i - 12.5 j +29.2 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. D View Available Hint(s) vec FIDA = ? Pearson ? iN,j N,k N Review Learning Goal: To use the dot product to find the components of forces acting in arbitrary directions. A three-legged structure is shown below. It is attached to the ground at points B = (3.65, 0, 0) and C(-3.65, 0, 0) and connected to the ceiling at point A = (-4.75, 4.78, 6.00). The three legs connect at point D= (0, 4.25, 2.00), where two forces, F and P, act. Force F is given by F 7.00 i 12.5 j + 29.2 k N; P has magnitude 30.0 N and direction angles a=111.0, =48.0, and y=49.4 for the x, y, and z axes, respectively. (Figure 1) 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, and z directions given P = 30.0 N, a = 111.0, = 48.0, and y=49.4. Recall that a is the angle between the vector and the x axis, 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. View Available Hint(s) vec P = ? iN,j N,k N Figure B F A 1 of 1 Submit Part B - Finding the angle between forces Find the angle between forces F and P. Express your answer to three significant figures in degrees. View Available Hint(s) vec 0 = ? Pearson ? Review Learning Goal: To use the dot product to find the components of forces acting in arbitrary directions. A three-legged structure is shown below. It is attached to the ground at points B = (3.65, 0, 0) and C = (-3.65, 0, 0) and connected to the ceiling at point A = (-4.75, 4.78, 6.00). The three legs connect at point D= (0, 4.25, 2.00), where two forces, F and P, act. Force F is given by F 7.00 i 12.5 j + 29.2 k N; P has magnitude 30.0 N and direction angles Part C - Determining the force along a member Determine the magnitude, FDA, acting along member DA, due to the applied force F = 7.00 i - 12.5 j +29.2 k N. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) a = 111.0, =48.0, and y = 49.4 for the x, y, and z axes, respectively. (Figure 1) FDA Value Units Figure Submit 1 of 1 ? B F Z Part D - Finding the component of a force perpendicular to a direction Given F = 7.00 i - 12.5 j +29.2 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. D View Available Hint(s) vec FIDA = ? Pearson ? iN,j N,k N