This document provides an overview of key concepts in statics including: 1) The parallelogram law states that the resultant of two forces is equal to the diagonal of a parallelogram constructed from the forces. 2) The triangle law states that three forces will be in equilibrium if their magnitudes are proportional to the sides of a triangle drawn in order. 3) Lami's theorem states that if three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two forces.

1. STATICS
Prepared by
Ms. R. Umadevi
Assistant Professor of Mathematics
Bon Secours College For Women
Thanjavur

2. QUIZ

3. Finding the Statement

4. If two forces acting at a point be represented in
magnitude and direction, by the sides of a
parallelogram drawn from the point, their resultant
is represented both in magnitude and direction by
the diagonal of the parallelogram drawn that point

5. Parallelogram of forces

6. If three forces acting at a point can be represented
in magnitude and direction by the sides of a
triangle taken in order, they will be in equilibrium

7. Triangle of forces

8. If three forces acting at a point are such that their
magnitudes are proportional to the sides of a triangle
and their directions are perpendicular to the
corresponding sides, all inwards or all outwards, then
also the forces will be in equilibrium

9. Perpendicular triangle of forces

10. If three forces acting at a point are in equilibrium,
then any triangle drawn so as to have its sides
parallel to the directions of the forces shall
represent them in magnitude also

11. Converse of the Triangle of Forces

12. If any number of forces acting at a point can
be represented in magnitude and direction by
the sides of a polygon taken in order, the
forces will be in equilibrium

13. Polygon of forces

14. If three forces acting at a point are in
equilibrium, each force is proportional to the
sine of the angle between the other two

15. Lami’s Theorem

16. Connection

18. Condition

20. Lami’s Theorem

22. Coplanar

24. Circumference

26. Equilibrium

28. Position

29. Thank You