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# Lecture2c(1)

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### Lecture2c(1)

1. 1. Today: - Forces & moments in 3D Book: Chapter 2.8-2.9, 3.4, 4.4-4.9 (3D)
2. 2. Force in 3 dimensions
3. 3. Force in 3 dimensions
4. 4. Force in 3 dimensions
5. 5. Projection of a force along an arbitrary line
6. 6. Angle between two vectors Scalar product
7. 7. The tension T in the cable CD is equal to 1.2 kN. Express T as a vector.
8. 8. 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.
9. 9. Moment due to a force
10. 10. Moment in 3 dimensions F is parallel to y-axis but not in xy plane
11. 11. FFa Fb Fc Fd
12. 12. Moment due to a force
13. 13. Moment M =
14. 14. Couple in 3D
15. 15. A B C D Which of these couples is different?
16. 16. Force-Couple systems
17. 17. Equivalent Force-Couple system A single resultant force and a moment that replaces all forces and couples in a body
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