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**Engineering Mechanics Lecture 2**

5/10, Friday 3-4am

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**2-Particle Interactions**

Sun : earth f21 Atom : atom f12 2 1

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**3-Particle Interactions**

F3 3 f32 f23 f31 2 F2 f13 f21 F1 f12 1

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**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 f13 Newton’s 3rd law f21 F1 f12 1 Therefore:

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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**

Vertical: Horizontal:

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Problem 2

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**Knot in Static Equilibrium?**

F1 F2 Horizontal: a b Vertical: Mass: m

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**When strings are almost straight horizontally**

F1 F2 a b when Mass: m

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Chapter 2 Statics of Particles. Addition of Forces Parallelogram Rule: The addition of two forces P and Q : A →P→P →Q→Q →P→P →Q→Q += →R→R Draw the diagonal.

Chapter 2 Statics of Particles. Addition of Forces Parallelogram Rule: The addition of two forces P and Q : A →P→P →Q→Q →P→P →Q→Q += →R→R Draw the diagonal.

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