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Learning Goal: To find a force's directional components that act along a cable and to find the coordinates of a point on a cable that has a force vector applied to it Three-dimensional Cartesian force vectors are used throughout engineering mechanics. The generic force vector is represented as follows F-Fi+ Fj+F,kwhere F is the force vector and F, F, and F, are the vector's i, j, and k components, respectively. The force vector has a magnitude F-F2 +F+F2 The vector's direction is described by a 1 of 2 > Figure 0 13/12 aft- bft F-clb V Y Part A As shown, a force vector F with a magnitude of c = 18.0 lb is applied at point A and is directed toward point C (Eigure 1) The distance a is 2 50 ft and the distance b is 9.50 ft What are the i, j, and k components of F? Express your answers numerically in pounds to three significant figures separated by commas. ▸View Available Hint(s) F., F, F.- Part B V ΑΣΦ | | | vec | 4 ^ A C ? lb As shown, the cable OA exerts a force on point O of F-Fi+Fj+Fk (Eigure 2) If the cable's length is a, what are the x, y, and z coordinates of A in terms of a. F₂. F,. F, and X, where X-(F2+ F + F²) ?

Learning Goal: To find a force's directional components that act along a cable and to find the coordinates of a point on a cable that has a force vector applied to it Three-dimensional Cartesian force vectors are used throughout engineering mechanics. The generic force vector is represented as follows F-Fi+ Fj+F,kwhere F is the force vector and F, F, and F, are the vector's i, j, and k components, respectively. The force vector has a magnitude F-F2 +F+F2 The vector's direction is described by a 1 of 2 > Figure 0 13/12 aft- bft F-clb V Y Part A As shown, a force vector F with a magnitude of c = 18.0 lb is applied at point A and is directed toward point C (Eigure 1) The distance a is 2 50 ft and the distance b is 9.50 ft What are the i, j, and k components of F? Express your answers numerically in pounds to three significant figures separated by commas. ▸View Available Hint(s) F., F, F.- Part B V ΑΣΦ | | | vec | 4 ^ A C ? lb As shown, the cable OA exerts a force on point O of F-Fi+Fj+Fk (Eigure 2) If the cable's length is a, what are the x, y, and z coordinates of A in terms of a. F₂. F,. F, and X, where X-(F2+ F + F²) ?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Learning Goal: To find a force's directional components that act along a cable and to find the coordinates of a point on a cable that has a force vector applied to it Three-dimensional Cartesian force vectors are used throughout engineering mechanics. The generic force vector is represented as follows F= Fi+Fj+Fkwhere F is the force vector and F. Fy, and F. are the vector's i, j, and k components, respectively. The force vector has a magnitude F = F² +F2+ F2 The vector's direction is described by a Figure 13/12 5 a ft bft F-clb < 1 of 2 Part A As shown, a force vector F with a magnitude of c = 18.0 lb is applied at point A and is directed toward point C. (Figure 1) The distance a is 2.50 ft and the distance b is 9.50 ft. What are the i, j, and k components of F? Express your answers numerically in pounds to three significant figures separated by commas. ►View Available Hint(s) 195| ΑΣΦΑΛΙ F₂, Fy, F₂ = Part B vec ? Review lb As shown, the cable OA exerts a force on point O of F = F₂i+ Fj+F₂k (Figure 2) If the cable's length is a, what are the x, y, and z coordinates of A in terms of a, F₂, Fy, F. and X, where X = √(F² +F3 + F²) ? 2/8/2024
Transcribed Image Text:Learning Goal: To find a force's directional components that act along a cable and to find the coordinates of a point on a cable that has a force vector applied to it Three-dimensional Cartesian force vectors are used throughout engineering mechanics. The generic force vector is represented as follows F= Fi+Fj+Fkwhere F is the force vector and F. Fy, and F. are the vector's i, j, and k components, respectively. The force vector has a magnitude F = F² +F2+ F2 The vector's direction is described by a Figure 13/12 5 a ft bft F-clb < 1 of 2 Part A As shown, a force vector F with a magnitude of c = 18.0 lb is applied at point A and is directed toward point C. (Figure 1) The distance a is 2.50 ft and the distance b is 9.50 ft. What are the i, j, and k components of F? Express your answers numerically in pounds to three significant figures separated by commas. ►View Available Hint(s) 195| ΑΣΦΑΛΙ F₂, Fy, F₂ = Part B vec ? Review lb As shown, the cable OA exerts a force on point O of F = F₂i+ Fj+F₂k (Figure 2) If the cable's length is a, what are the x, y, and z coordinates of A in terms of a, F₂, Fy, F. and X, where X = √(F² +F3 + F²) ? 2/8/2024
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