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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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The Student's Dynamics, Comprising Statics and Kinetics

George Minchin Minchin - 1900 - 258 páginas
...the rule for unlike parallel forces ? 3. Prove that the sum of the moments of any two parallel forces about any point in their plane is equal to the moment of their resultant about that point. 4. Define a couple. Explain the meaning of expressing the resultant of two equal unlike...
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Theoretical Mechanics: An Elementary Text-book

Leander Miller Hoskins - 1900 - 436 páginas
...— Proposition. — The algebraic sum of the moments of any two coplanar forces with respect to a point in their plane is equal to the moment of their resultant with respect to that point. In the proof of this proposition two cases must be considered, according...
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A Treatise on Physics

Andrew Gray - 1901 - 688 páginas
...theorem, which will be of great service later, that the sum of the moments of any two directed quantities about any point in their plane is equal to the moment of their resultant about the same point. The sum of the moments is zero, if the point be on the resultant, and is not zero unless this is the...
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A Treatise on Physics: Dynamics and properties of matter, Volume 1

Andrew Gray - 1901 - 702 páginas
...theorem, which will be of great service later, that the sum of the moments of any two directed quantities about any point in their plane is equal to the moment of their resultant about the same point. The sum of the moments is zero, if the point be on the resultant, and is not zero unless this is the...
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Calendar, for the Year ...

1901
...sin QOR : sin ROP : sin POQ. (b) Prove that the sum of the moments of two forces acting at a point about any point in their plane is equal to the moment of their resultant about the same point ; and extend this theorem to the case of any number of coplanar forces acting at a point. (c) Shew...
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A Treatise on Physics: Dynamics and properties of matter, Volume 1

Andrew Gray - 1901 - 688 páginas
...moments of any number of quantities directed along coplanar lines which meet in a point, taken round any point in their plane, is equal to the moment of their resultant about the same point. 118. General Theorem of Composition of Moments. — This theorem is only a particular case of a more...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...2. Prove that the algebraical sum of the moments of a number of coplanar forces acting on a particle about any point in their plane is equal to the moment of their resultant about that point. /"is the orthocentre of a triangle ABC. Forces act along AP, BP, CP, and are proportional...
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Examinations Papers

1901
...system of forces in one plane act at the same point. Shew that the sum of the moments of the forces about any point in their plane is equal to the moment of their resultant. Two light rods AB, .4 fare free to move in a •vertical plane about the fixed point A. S, C&re connected...
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Examination Papers

University of Toronto - 1901
...acting in one plane, about any point in the plane. Prove that the sum of the moments of two forces about any point in their plane is equal to the moment of the resultant about the same point. 3. Obtain the conditions of equilibrium for (a) any number of forces...
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Calendar

University of St. Andrews - 1902
...it can be represented geometrically. Prove that if two forces which meet at a point act on a body, the algebraic sum of their moments about any point...plane is equal to the moment of their resultant about that point. A straight weightless rod is kept in equilibrium by three parallel forces A, B, C. Show...
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