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1. Definition of Mechanics and its Subdivisions.

2. Definition of Force and its Mechanical Effects.

3. Definition of its Intensity and Measure, its Direction and Point of Application. 4. Definition of Analytical Mechanics.

5. Definition of Concurring and Conspiring Forces.

6. Definition of Body, Rigid, Flexible, and Elastic.

STATICS.

CHAPTER I.

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1

COMPOSITION AND EQUILIBRIUM OF CONCURRING FORCES IN THE SAME PLANE. 3

7. Two equal and opposite Forces in Equilibrium.

8. Two Forces inclined to each other can not Equilibrate.

9. Definition of Resultant and Components. 10. Resultant of several Conspiring Forces. 11. Resultant of two unequal opposite Forces. 12 Resultant of any number of opposite Forces. 13. Point of Application at any Point in its Direction. 14. Direction of the Resultant of several Forces.

15. Direction of the Resultant of two equal Forces.

16. Direction of the Resultant of two unequal Forces.

17. Variation of the Magnitude of the Resultant and its Components.

18. Equilibrium of three equal Forces.

19. Resultant of two equal Forces at an Angle of 120°.

20. Each of three equilibrating Forces equal to the Resultant of the other two in

Magnitude.

21. Parallelogram of Forces.

22. Triangle of Forces.

23. Resolution of Forces.

24. Polygon of Forces.

25. Representation of equilibrated Forces.

26. Graphical determination of Resultant.

27. Parallelopiped of Forces.

28. Ratios of three equilibrated Forces.

29. Expression for the Resultant of two Forces.

30. Definition of Moment of a Force-Origin of Moments.

31. Equality of the Moment of the Resultant with the Sum of the Moments of two Components.

32. Equality of the Moment of the Resultant with the Sum of the Moments of any

number of Components.

33. When the Origin of Moments is fixed. 34. When the Forces are in Equilibrium. 35. Examples.

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THEORY OF COUPLES...

CHAPTER IV.

81. Principle of Virtual Velocities obtains in non-concurring Forces in the same Plane.
82. The Converse.

59

II. WHEEL AND AXLE ...

137. Definition of Wheel and Axle.

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APPLICATION OF THE PRINCIPLE OF VIRTUAL VELOCITIES TO THE MECHANICAL
POWERS

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