Engineering Mechanics Lecture 2

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Presentation transcript:

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

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

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

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:

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

Problem 1

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.

Remove Spike from Timber Vertical: Horizontal:

Problem 2

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

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