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Engineering Mechanics Lecture 2

Engineering Mechanics Lecture 2. 5/10, Friday 3-4am. 2-Particle Interactions. Sun : earth. f 21. Atom : atom. f 12. 2. 1. 3-Particle Interactions. F 3. 3. f 32. f 23. f 31. 2. F 2. f 13. f 21. F 1. f 12. 1. Many-Particle Interactions.

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Engineering Mechanics Lecture 2

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  1. Engineering MechanicsLecture 2 5/10, Friday 3-4am

  2. 2-Particle Interactions Sun : earth f21 Atom : atom f12 2 1

  3. 3-Particle Interactions F3 3 f32 f23 f31 2 F2 f13 f21 F1 f12 1

  4. Many-Particle Interactions For an N particles system, in equilibrium Newton’s 1st law F3 3 Summation of the above equation gives f32 f23 f31 2 F2 Newton’s 3rd law f13 f21 F1 f12 1 Therefore:

  5. Free-Body-Diagram Isolate the body in question with the representation of all external forces acting on it.

  6. Problem 1

  7. Remove Spike from Timber It is desired to remove the spike from the timber by applying force along its horizontal axis. An obstruction A prevents direct access, so that two forces, one is 1.6kN and the other P, are applied by cables as shown. Compute the magnitude of P necessary to ensure axial tension T along the spike. Also find T.

  8. Remove Spike from Timber T Vertical: Horizontal:

  9. Problem 2

  10. Knot in Static Equilibrium? F1 F2 Horizontal: a b Vertical: Mass: m

  11. When strings are almost straight horizontally F1 F2 a b when Mass: m

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