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" If three forces, represented in magnitude and direction by the sides of a triangle, act on a point, they will keep it at rest. "
The Mechanical Euclid: Containing the Elements of Mechanics and Hydrostatics ... - Σελίδα 46
των William Whewell - 1837 - 182 σελίδες
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Practical Mechanics: An Elementary Manual for the Use of Students in Science ...

Sidney H. Wells - 1898 - 220 σελίδες
...experiment may be regarded as a verification. Triangle of Forces. If three forces acting at a point can be represented in magnitude and direction by the sides of a triangle taken in order, they are in equilibrium; and conversely, If three forces acting at a point are in equilibrium, and...

Exercises in Practical Physics for Schools of Science, Τόμος 1

Sir Richard Gregory, Arthur Thomas Simmons - 1899
...You have therefore proved the triangle of forces, viz.: When three forces acting at a point can be represented in magnitude and direction by the sides of a triangle taken in order, they are in equilibrium. 88. Friction. (a) Fix a small staple, such as is used to fasten wire netting,...

Kinematics, statics, kinetics, statics of rigid bodies and of elastic solids

Augustus Jay Du Bois - 1902
...must act in their plane and be equal and opposite to the third. (3) If three concurring forces are represented in magnitude and direction by the sides of a triangle taken the same way round, the resultant is zero and the forces are in equilibrium. (4) Hence, if three concurring...

A Text-book of Applied Mechanics and Mechanical Engineering, Τόμος 2

Andrew Jamieson - 1903
...taken in the reverse direction. Hence, if there be simultaneously impressed on a point three velocities represented in magnitude and direction by the sides of a triangle taken in order, then the point will remain at rest.* Polygon of Velocities. — If several component velocities be...

Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

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 any point...

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

William Henry Atherton - 1905 - 236 σελίδες
...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. This...

An Intermediate Course of Mechanics

Alfred William Porter - 1905 - 422 σελίδες
...hour. Give the direction as well as the magnitude of the force. 5. Three forces represented completely by the sides of a triangle taken in order act on a rigid body. Will they keep it in equilibrium ? If they were moved so as to act on a particle, would...

Mechanics and Hydrostatics for Beginners

Sidney Luxton Loney - 1907 - 290 σελίδες
...is 5 feet; find the resolved parts of its weight along and perpendicular to the plane. 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 R acting at...

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 acting...

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,...




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