Problem 1. A concurrent force system in space consists of three forces with the following descriptions: a. Force Q1, which acts through the origin and the points x=3, y=4, and z=2, has a magnitude of 110 kN b. Force Q2, acting through the origin and points x=4, y=1, and z=-2, has a magnitude of 65 kN. c. Force Q3, which acts through the origin and points x=2, y=-3, and z=3, has a magnitude of 85 kN. Determine the x-, y-, and z- components of the resultant force. Please show your FBDS and complete solution. Also show the working equations.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Problem 1. A concurrent force system in space consists of three forces with the following descriptions:
a. Force Q1, which acts through the origin and the points x=3, y=4, and z=2, has a magnitude of 110 kN
b. Force Q2, acting through the origin and points x=4, y=1, and z=-2, has a magnitude of 65 kN.
c. Force Q3, which acts through the origin and points x=2, y=-3, and z=3, has a magnitude of 85 kN.
Determine the x-, y-, and z- components of the resultant force. Please show your FBDS and complete solution. Also show
the working equations.
Problem 2. A chord, with its supports at A and B, bears a load of 10 kN and a load of W. What should be the value of W so
that CD remain horizontal?
60°
30°
w
Problem 3. Reduce the system of forces in the belts shown to a single force at O and a couple. Forces are either vertical or
horizontal. Inner radius = 1 foot, radius of bigger pulley from O = 2 ft.
20 Ib
40 Ib 30 1b
15 Ib
Transcribed Image Text:Problem 1. A concurrent force system in space consists of three forces with the following descriptions: a. Force Q1, which acts through the origin and the points x=3, y=4, and z=2, has a magnitude of 110 kN b. Force Q2, acting through the origin and points x=4, y=1, and z=-2, has a magnitude of 65 kN. c. Force Q3, which acts through the origin and points x=2, y=-3, and z=3, has a magnitude of 85 kN. Determine the x-, y-, and z- components of the resultant force. Please show your FBDS and complete solution. Also show the working equations. Problem 2. A chord, with its supports at A and B, bears a load of 10 kN and a load of W. What should be the value of W so that CD remain horizontal? 60° 30° w Problem 3. Reduce the system of forces in the belts shown to a single force at O and a couple. Forces are either vertical or horizontal. Inner radius = 1 foot, radius of bigger pulley from O = 2 ft. 20 Ib 40 Ib 30 1b 15 Ib
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