To find the resultant of multiple forces using Cartesian components and to determine the direction of this resultant from its components. As shown, three forces act on the tip of a pole. F1=−50 i +125 j +45 k lb. F2=120 lb and forms the following angles with the x, y, and z axes, respectively: α=53.7∘, β=69.1∘, and γ=136.3∘. F3=120 lb forms the angle ϕ=30∘ with the z-axis and forms the angle θ=35∘ between the x-axis and the projection of F3 in the xy plane. 1) Find the resultant of adding F1, F2, and F3. 2) For the given forces, F1, F2, and F3, find the three direction angles αR, βR, and γR between the resultant force R123 found in Part B and the x, y, and z axes, respectively.
To find the resultant of multiple forces using Cartesian components and to determine the direction of this resultant from its components. As shown, three forces act on the tip of a pole. F1=−50 i +125 j +45 k lb. F2=120 lb and forms the following angles with the x, y, and z axes, respectively: α=53.7∘, β=69.1∘, and γ=136.3∘. F3=120 lb forms the angle ϕ=30∘ with the z-axis and forms the angle θ=35∘ between the x-axis and the projection of F3 in the xy plane. 1) Find the resultant of adding F1, F2, and F3. 2) For the given forces, F1, F2, and F3, find the three direction angles αR, βR, and γR between the resultant force R123 found in Part B and the x, y, and z axes, respectively.
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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To find the resultant of multiple forces using Cartesian components and to determine the direction of this resultant from its components.
As shown, three forces act on the tip of a pole. F1=−50 i +125 j +45 k lb. F2=120 lb and forms the following angles with the x, y, and z axes, respectively: α=53.7∘, β=69.1∘, and γ=136.3∘. F3=120 lb forms the angle ϕ=30∘ with the z-axis and forms the angle θ=35∘ between the x-axis and the projection of F3 in the xy plane.
1) Find the resultant of adding F1, F2, and F3.
2) For the given forces, F1, F2, and F3, find the three direction angles αR, βR, and γR between the resultant force R123 found in Part B and the x, y, and z axes, respectively.
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