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If three forces, acting at a point, be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium.
The Elements of Analytical Mechanics - Σελίδα 67
των De Volson Wood - 1882 - 249 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Eldred John Brooksmith - 1904
...answered.] Gravitational acceleration = 32 foot-second units. 1. Three forces acting at a point can be represented in magnitude and direction by the sides of a triangle taken in order. Prove, from first principles, that the algebraic sum of the moments of the three forces about...

An Introduction to the Design of Beams, Girders, and Columns in Machines and ...

William Henry Atherton - 1905 - 236 σελίδες
...We have now 3 forces meeting at a point and keeping the lever in equilibrium. Hence these forces can be represented in magnitude and direction by the sides of a triangle taken in order. Draw this triangle by setting off W equal to 1 ton and drawing parallels to the other forces....

Principle of Elementary Mechanics

De Volson Wood - 1903 - 208 σελίδες
...2FPcos(F,P). This equation is of the same form as those in Articles 14 and 56. 148. Triangle of Pressures. — If three concurrent forces are in equilibrium they may be represented in mag<nitfude and direction of action 'by the three sides of a triangle taken in their order. In Fig....

Elements of Mechanics Including Kinematics, Kinetics and Statics: With ...

Thomas Wallace Wright - 1906 - 382 σελίδες
...is a closed polygon. Hence If any number of forces in the same plane acting on a par' tide keep it in equilibrium, they may be represented in magnitude and direction by the sides of a closed polygon taken the same way round. This is the graphical condition of equilibrium of forces acting...

Mechanics and Hydrostatics for Beginners

Sidney Luxton Loney - 1905 - 290 σελίδες
...and perpendicular to the plane. M "p 30. Triangle of Forces. Jf three forces, acting at ?\ a point, 'be represented in magnitude and direction by the sides of a triangle, taken in order, that is, taken the same way round, they will be in equilibrium. Let the forces P, Q, and £...

Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1907
...particular case of the second. The triangle of forces states that if three forces acting on a particle are in equilibrium they may be represented in magnitude and direction by the three sides of a triangle taken in order, and conversely, if three forces acting on a particle can...

Henley's Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - 1907
...particular case of the second. The triangle of forces states that if three forces acting on a particle are in equilibrium they may be represented in magnitude and direction by the three sides of a triangle taken in order, and conversely, if three forces acting on a particle can...

Cassell's Engineer's Handbook: Comprising Facts and Formulæ, Principles and ...

Henry Adams - 1907 - 576 σελίδες
...TRIANGLE OF FORCES. 62. POLYGON OF FORCES. When more than three forces in one plane acting upon a point are in equilibrium they may be represented in magnitude and direction by lines forming a closed polygon. More fully defined in next paragraph. 63. FORCE POLYGON. When forces...

The Architect's and Builder's Pocket-book: A Handbook for Architects ...

Frank Eugene Kidder - 1908 - 1661 σελίδες
...squares of the other two forces. Tlio Triangle of Forces. — III. // three forces actbig on a point be represented in magnitude and direction by the sides of a triangle taken in order, they will keep the point in equilibrium. Thus let P, Q, and R (Fig. ."5) represent three forces...

An Elementary Text-book of Physics, Τόμος 1

Robert Wallace Stewart - 1910
...converse of this theorem states that if three forces acting at a point are in equilibrium they can be represented in magnitude and direction by the sides of a triangle taken in order. Since all triangles, whose sides are parallel to three given directions, must be similar triangles,...