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" Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point. "
Questions and Exercises on Stewart's Lessons in Elementary Physics - Página 92
de George Anthony Hill - 1880 - 188 páginas
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Introduction to Analytical Mechanics

Alexander Ziwet, Peter Field - 1912 - 378 páginas
...opposite and in the same line, we find Rr = Pp + Qq; ie the sum of the moments of two parallel forces about any point in their plane is equal to the moment of their resultant about the same point. If, in particular, the point of reference be taken on the resultant so that r = 0, we find STATICS...
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Mechanics: An Elementary Study Prepared for the Use of the Midshipmen at the ...

Harry Eaton Smith - 1913 - 269 páginas
...of rotation. 17. Varignon's Theorem. — The algebraic sum of the moments of two concurring forces, about any point in their plane, is equal to the moment of their resultant about the same point. let M be any point, and p, q and r be perpendiculars from the point upon the lines of action of the...
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An introduction to the mechanics of fluids

Edwin Henry Barton - 1915 - 249 páginas
...If two forces act at a point O, then the algebraic sum of their moments with respect to any point P in their plane is equal to the moment of their resultant about P. PROOF. — In Fig. 12 let the forces be at OA and OB and their resultant OC. Join O, A, B, and C...
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The Money Value of Education, Edições 21-34

Alexander Caswell Ellis - 1917 - 50 páginas
...makes with the greatest force. 2. Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point. Forces 2P, P, P act along BC, CA, AB, the sides of an equilateral triangle ABC. Show that the resultant...
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Statistics of Land-grant Colleges and Universities, Volume 2,Edições 17-31

United States. Office of Education - 1917
...makes. with the greatest force. 2. Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point. Forces 2P, P, P act along BC, CA, AB, the sides of an equilateral triangle ABC. Show that the resultant...
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Applied Mechanics

Alfred Peter Poorman - 1917 - 244 páginas
...forces may now be stated : The algebraic sum of the moments of two parallel forces with respect to any point in their plane is equal to the moment of their resultant with respect to the same point. If the point D is taken on the line ac, the equation just derived becomes...
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Bulletin, Edições 27-40

United States. Office of Education - 1918
...makes with the greatest force. 2. Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point. Forces 2P, P, P act along BC, CA, AB, the sides of an equilateral triangle ABC. Show that the resultant...
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The Training of Teachers of Mathematics for the Secondary Schools of the ...

Raymond Clare Archibald - 1918 - 287 páginas
...makes with the greatest force. 2. Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point. Forces 2P, P, P act along BC, CA, AB, the sides of an equilateral triangle ABC. Show that the resultant...
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Mechanics: A Textbook for Engineers

James Ellsworth Boyd - 1921 - 417 páginas
...in the same plane is equal to their algebraic sum, and that the sum of the moments of all the forces about any point in their plane, is equal to the moment of their resultant about that point. It will now be shown that the resultant of parallel forces which are not all in the same...
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Analytical Mechanics for Engineers

Fred B. Seely, Newton Edward Ensign - 1921 - 486 páginas
...formally as follows : The algebraic sum of the moments of the forces of a coplanar parallel system about any point in their plane is equal to the moment of the resultant of the system about the same point. In demonstrating the truth of this statement use...
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