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Engineering Mechanics Lecture 2 5/10, Friday 3-4am

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2-Particle Interactions 1 2 f 21 f 12 Sun : earth Atom : atom

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3-Particle Interactions 1 2 f 21 f 13 3 f 12 f 31 f 23 f 32 F3F3 F1F1 F2F2

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Many-Particle Interactions 1 2 f 21 f 13 3 f 12 f 31 f 23 f 32 F3F3 F1F1 F2F2 Summation of the above equation gives Newton’s 3 rd law Therefore: For an N particles system, in equilibrium Newton’s 1st law

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

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Problem 1

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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.

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Remove Spike from Timber T Horizontal: Vertical:

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Problem 2

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Knot in Static Equilibrium? Mass: m F1F1 F2F2 Horizontal: Vertical:

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When strings are almost straight horizontally when Mass: m F1F1 F2F2

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