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Today:
- Forces & moments in 3D
Book: Chapter 2.8-2.9, 3.4, 4.4-4.9 (3D)
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![Page 3: Today: - Forces & moments in 3D Book: Chapter 2.8-2.9, 3.4 ... · - Forces & moments in 3D Book: Chapter 2.8-2.9, 3.4, 4.4-4.9 (3D) Force in 3 dimensions ... F is parallel to y-axis](https://reader030.vdocuments.us/reader030/viewer/2022040906/5e7c49179c4cf53eaf1cb059/html5/thumbnails/3.jpg)
Force in 3 dimensions
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Force in 3 dimensions
![Page 5: Today: - Forces & moments in 3D Book: Chapter 2.8-2.9, 3.4 ... · - Forces & moments in 3D Book: Chapter 2.8-2.9, 3.4, 4.4-4.9 (3D) Force in 3 dimensions ... F is parallel to y-axis](https://reader030.vdocuments.us/reader030/viewer/2022040906/5e7c49179c4cf53eaf1cb059/html5/thumbnails/5.jpg)
Force in 3 dimensions
![Page 6: Today: - Forces & moments in 3D Book: Chapter 2.8-2.9, 3.4 ... · - Forces & moments in 3D Book: Chapter 2.8-2.9, 3.4, 4.4-4.9 (3D) Force in 3 dimensions ... F is parallel to y-axis](https://reader030.vdocuments.us/reader030/viewer/2022040906/5e7c49179c4cf53eaf1cb059/html5/thumbnails/6.jpg)
Projection of a force along an arbitrary line
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Angle between two
vectors
Scalar product
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The tension T in the cable CD is equal to
1.2 kN.
Express T as a vector.
Source: R.C. Hibbeler,
"Engineering Mechanics – Statics"
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The shafts and attached brackets are
twisted in opposite directions to
maintain a tension T of 500 N in the
wire joining A and B. Express the
tension, considered as a force acting on
A, as a vector and determine the
projection of T onto the line DC.
Source: R.C. Hibbeler,
"Engineering Mechanics – Statics"
![Page 10: Today: - Forces & moments in 3D Book: Chapter 2.8-2.9, 3.4 ... · - Forces & moments in 3D Book: Chapter 2.8-2.9, 3.4, 4.4-4.9 (3D) Force in 3 dimensions ... F is parallel to y-axis](https://reader030.vdocuments.us/reader030/viewer/2022040906/5e7c49179c4cf53eaf1cb059/html5/thumbnails/10.jpg)
Moment due to a force
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Moment in 3 dimensions
F is parallel to y-axis
but not in xy plane
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F Fa
Fb
Fc
Fd
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Moment due to a force
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Moment
M =
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Couple in 3D
Source: R.C. Hibbeler,
"Engineering Mechanics – Statics"
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A B C D
Which of these couples is different?
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Force-Couple systems
Source: R.C. Hibbeler,
"Engineering Mechanics – Statics"
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Equivalent Force-Couple system
A single resultant force and a moment that
replaces all forces and couples in a body