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a) Determine the coordinate direction angle each force makes with the coordinate axes (i.e. a1, Bi, yi for F1 and a2, B2, 12 for F2) from the components of unit vectors acting in the direction of F1 and F2 (Note: Force F2 is on the yz-plane). Express F1 and F2 as Cartesian vectors. Check your results by calculating the magnitudes of each vector.

a) Determine the coordinate direction angle each force makes with the coordinate axes (i.e. a1, Bi, yi for F1 and a2, B2, 12 for F2) from the components of unit vectors acting in the direction of F1 and F2 (Note: Force F2 is on the yz-plane). Express F1 and F2 as Cartesian vectors. Check your results by calculating the magnitudes of each vector.

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
Problem 1.1MA
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a) Determine the coordinate direction angle each force makes with the coordinate axes (i.e. a1, B1, yı for F1 and a2, B2, y2 for F2) from the components of unit vectors acting in the direction of Fr and F2 (Note: Force F2 is on the yz-plane). Express F1 and F2 as Cartesian vectors. Check your results by calculating the magnitudes of each vector. F2 = 80 kN F, = 50 kN 5 15 30° 3 4 y b) Determine the angle 0 between forces F1 and F2: F2 = 80 kN F, = 50 kN %3D 5 15 30 3 4 y Determine the magnitudes of the projection of the force F onto the u and v axes, Fu and Fv, respectively. Also, determine the components perpendicular to the u and v axes, Ful and Fy1. (Note: The v-axis points vertically upward perpendicular to the surface to which the hook is bolted.) ul F= 50 N 15 n° 105
Transcribed Image Text:a) Determine the coordinate direction angle each force makes with the coordinate axes (i.e. a1, B1, yı for F1 and a2, B2, y2 for F2) from the components of unit vectors acting in the direction of Fr and F2 (Note: Force F2 is on the yz-plane). Express F1 and F2 as Cartesian vectors. Check your results by calculating the magnitudes of each vector. F2 = 80 kN F, = 50 kN 5 15 30° 3 4 y b) Determine the angle 0 between forces F1 and F2: F2 = 80 kN F, = 50 kN %3D 5 15 30 3 4 y Determine the magnitudes of the projection of the force F onto the u and v axes, Fu and Fv, respectively. Also, determine the components perpendicular to the u and v axes, Ful and Fy1. (Note: The v-axis points vertically upward perpendicular to the surface to which the hook is bolted.) ul F= 50 N 15 n° 105
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