1. Resolve the force F into two components acting along the u and v axes and determine the magnitudes of the components. 2. Replace the three forces by a single equivalent force R (Le., resultant) and find its magnitude and direction angle e between R and the x-axis. Present Ras a Cartesian vector as well.

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Chapter1: Units, Trigonometry. And Vectors
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2D Forces, 3D Forces & Resultant
1. Resolve the force F into two
components acting along the u and v
axes and determine the magnitudes of
the components.
60 kN
-35 KN
F-10 KN
2. Replace the three forces by a single
equivalent force R (Le., resultant) and
find its magnitude and direction angle e
between R and the x-axis. Present R as a
Cartesian vector as well.
5-15 kN
F-25 kN
3. if the resultant force acting on the
bracket is required to be a minimum,
determine the magnitudes of F. and the
resultant force. Set - 32.
35
F-65 kN
Note: For minimum resultant Fr, you
dF
should have 0
dF
535 kN
Transcribed Image Text:2D Forces, 3D Forces & Resultant 1. Resolve the force F into two components acting along the u and v axes and determine the magnitudes of the components. 60 kN -35 KN F-10 KN 2. Replace the three forces by a single equivalent force R (Le., resultant) and find its magnitude and direction angle e between R and the x-axis. Present R as a Cartesian vector as well. 5-15 kN F-25 kN 3. if the resultant force acting on the bracket is required to be a minimum, determine the magnitudes of F. and the resultant force. Set - 32. 35 F-65 kN Note: For minimum resultant Fr, you dF should have 0 dF 535 kN
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