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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. "
Mathematical Formulae: For the Use of Candidates Preparing for the Army ... - Σελίδα 83
των R. M. Milburn - 1880 - 100 σελίδες
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A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

John Martin Frederick Wright - 1831
...fulcrum, then shall Pp + Qq + Rr + &c. = Pp' + QY + R'/ + &c. 2. If any two forces acting at the same point be represented in magnitude and direction by the sides of a parallelogram, the diagonal also represents their resultant in magnitude and direction. 3. In the screw,...

The Mechanical Euclid: Containing the Elements of Mechanics and Hydrostatics ...

William Whewell - 1837 - 182 σελίδες
...parallel to them in direction and proportional to them in magnitude. * PROP. XIV. If three forces, represented in magnitude and direction by the sides of a triangle taken in order, act on a point, they will keep it in equilibrium. Let three forces, represented in magnitude and direction...

An Elementary Treatise on Mechanics: For the Use of Junior University Students

Richard Potter - 1846 - 172 σελίδες
...in order, will represent the forces. Conversely, if three forces which act at a point be represented by the sides of a triangle, taken in order, they will be in equilibrium. This proposition is called the triangle of forces. If the three forces P, Q, R, in equilibrium, act...

An Elementary Treatise on Mechanics: Intended for the Use of Colleges and ...

William Whewell - 1847 - 191 σελίδες
...at whatever point of the force the resolution be supposed to take place. 57. PIIOP. If three forces, represented in magnitude and direction by the sides of a triangle taken in order, act on a point, they will keep it in equilibrium. Let three forces, represented in magnitude and direction...

An elementary treatise on mechanics

Richard Potter - 1848
...in order, will represent the forces. Conversely, if three forces which act at a point be represented by the sides of a triangle, taken in order, they will be in equilibrium. This proposition is called the triangle offerees. If the three forces, P, Q, R, in equilibrium, act...

An Elementary Treatise on Mechanics: Embracing the Theory of Statics and ...

Augustus William Smith - 1855 - 307 σελίδες
...the triangle, taken in order, will represent the forces. Conversely, if the forces can be represented by the sides of a triangle, taken in order, they will be in equilibrium. Let the forces P, Q, and R be in equilibrium, and be represented by AB, AD, and AE respectively. Produce...

AN ELEMENTARY TREATISE ON MECHANICS

AUGUSTUS W. SMITH - 1855
...the triangle, taken in order, will represent the forces. Conversely, if the forces can be represented by the sides of a triangle, taken in order, they will be in equilibrium. Let the forces P, Q, and R be in equilibrium, and be repreB sented by AB, AD, and AE respectively....

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...the pressure on the fulcrum be 25 pounds, what are the magnitudes of the forces ? 2. If three forces represented in magnitude and direction by the sides of a triangle taken in order, act on a point, they will keep it at rest. Two forces whose magnitudes are 12 and 5 pounds respectively,...

An Elementary Treatise on Mechanics: Designed as a Text-book for the ...

John Bradford Cherriman - 1858 - 92 σελίδες
...(Q, K) Q' = B » + P » + 2 RP cos (B, P). Polygon of 30. Polygon of Forces. T/ 7 Forces acting on a point be represented in magnitude and direction by the sides of a polygon, taken in order, they will keep the point at rest. For if ABCDEF be the polygon, the forces...

An Elementary Treatise on Mechanics: Embracing the Theory of Statics and ...

Augustus William Smith - 1863 - 307 σελίδες
...the triangle, taken in order, will represent the forces. Conversely, if the forces can be represented by the sides of a triangle, taken in order, they will be in equilibrium. Let the forces P, Q, and R be in equilibrium, and be repre sented by AB, AD, and AE respectively. Produce...




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