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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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Text-book of Mechanics: With Numerous Examples

Thomas Wallace Wright - 1890 - 254 páginas
...we have 0 = RX O1 + F, X Oa + F, X Ob + . . .; or, when forces acting at a point are in equilibrium, the algebraic sum of their moments about any point in their plane is zero. (b) When forces acting at a point A are in equilibrium, their moment about any point O gives...
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The Elements of Statics and Dynamics: Elements of statics

Sidney Luxton Loney - 1891
...Generalised theorem of moments. If any number of forces in one plane acting on a rigid body have a resultant, the algebraic sum of their moments about any point...their plane is equal to the moment of their resultant. For let the forces be P, Q, R, S,... and let 0 be the point about which the moments are taken. Let...
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The Elements of Graphic Statics: A Text-book for Students of Engineering

Leander Miller Hoskins - 1892 - 191 páginas
...(not shown) its magnitude. By the principle of moments (Art. 50) the sum of the moments of AB and BC about any point in their plane is equal to the moment of AC about the same point. If the origin of moments is on ac, the moment of AC is zero ; and therefore...
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An Elementary Treatise on Theoretical Mechanics: Introduction to dynamics ...

Alexander Ziwet - 1893
...be stated in the following form : the algebraic sum of the moments of any tivo intersecting forces about any point in their plane is equal to the moment of their resultant about the same point. 92. The product Rr represents twice the area of the triangle having R for its base and 5 for its vertex...
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A Text-book of Statics

William Briggs, George Hartley Bryan - 1894 - 220 páginas
...opposite to the sum of their moments. COR. 2. — When any number of coplanar forces* act on a rigid body, the algebraic sum of their moments about any point...their plane is equal to the moment of their resultant. Consider two of the forces. Whether these intersect or are parallel, algebraic sum of their moments...
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Mechanics: Statics

Richard Glazebrook - 1896
...great importance. PROPOSITION 15. To prove that the algebraic sum of the moments of two forces about a point in their plane is equal to the moment of their resultant about that point. (i) When the lines of action of t/te forces meet. Let the forces be P, Q impressed on a...
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Elements of Mechanics Including Kinematics, Kinetics and Statics: With ...

Thomas Wallace Wright - 1896 - 382 páginas
...twice the area of the triangle. 5. Show that the sum of the moments of the two forces forming a couple about any point in their plane is equal to the moment of the couple. 139. General Method of Combining Forces (Analytical). — It is evident from the preceding...
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Competition for Situations as Assistant in the British Museum: And ...

Great Britain. Civil Service Commission - 1896 - 96 páginas
...Define the term "moment of a force." Show that the sum of the moments of two forces with respect to a point in their plane, is equal to the moment of their resultant with respect to the point. 6. A imiform beam is supported horizontally at its extremities on two vertical...
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Annual Report of the Commissioners ..., Volume 64

1898
...the directions of two forces meet in a point, the algebraic sum of the moments of the forces round any point in their plane is equal to the moment of their resultant round the same point. 7. A smooth plane has an inclination to the horizon of 45°, and the length of...
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Calendar, for the Year ...

1899
...of action must meet in a point or else be parallel. 5. The sum of the moments of two parallel forces about any point in their plane is equal to the moment of their resultant. Discus* the case when the forces are equal and unlike. 6. Find the conditions for the equilibrium of...
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