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As shown, a pole is subjected to three forces: F, P, and T. The force F expressed in Cartesian vector form is F = [8 i +6 j + 10 k] N. Force P has magnitude 4.69 N and acts in the direction given by these direction angles: a = 130.0⁰, B = 64.8°, and y = 50.2° to the x, y, and z axes, respectively. Force T lies within the yz plane, its direction is given by the 3-4-5 triangle shown, and its magnitude is 10 N.

As shown, a pole is subjected to three forces: F, P, and T. The force F expressed in Cartesian vector form is F = [8 i +6 j + 10 k] N. Force P has magnitude 4.69 N and acts in the direction given by these direction angles: a = 130.0⁰, B = 64.8°, and y = 50.2° to the x, y, and z axes, respectively. Force T lies within the yz plane, its direction is given by the 3-4-5 triangle shown, and its magnitude is 10 N.

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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pr.nilesh

Part A: What is the magnitude of F? Part B: Determine the components of P in the i, j, and k directions. Part C: What are the Cartesian components of force T? As shown, a pole is subjected to three forces: F, P, and T. The force F expressed in Cartesian vector form is F = [8 i +6 j + 10 k] N. Force P has magnitude 4.69 N and acts in the direction given by these direction angles: a = 130.0°, B= 64.8°, and y = 50.2° to the x, y, and z axes, respectively. Force T lies within the yz plane, its direction is given by the 3-4-5 triangle shown, and its magnitude is 10 N.
Transcribed Image Text:Part A: What is the magnitude of F? Part B: Determine the components of P in the i, j, and k directions. Part C: What are the Cartesian components of force T? As shown, a pole is subjected to three forces: F, P, and T. The force F expressed in Cartesian vector form is F = [8 i +6 j + 10 k] N. Force P has magnitude 4.69 N and acts in the direction given by these direction angles: a = 130.0°, B= 64.8°, and y = 50.2° to the x, y, and z axes, respectively. Force T lies within the yz plane, its direction is given by the 3-4-5 triangle shown, and its magnitude is 10 N.
T x α BF=F₂i+F₁+F_k
Transcribed Image Text:T x α BF=F₂i+F₁+F_k
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