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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. "
Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... - Σελίδα 9
επεξεργασία από - 1904
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A Treatise on Physics: Dynamics and properties of matter, Τόμος 1

Andrew Gray - 1901 - 726 σελίδες
...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...

Examinations Papers

1901 - 768 σελίδες
...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...

Examination Papers

University of Toronto - 1901 - 1190 σελίδες
...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...

Calendar

University of St. Andrews - 1902 - 740 σελίδες
...geometrically. Prove that if two forces which meet at a point act on a body, the algebraic sum of their moments about any point in their 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...

Guide to the Civil Service

John Gibson - 1903 - 288 σελίδες
...the directions of the two parts of the thread and the position in which it hangs between the rods. 3. Define the moment of a force about a point, explaining...parallel forces acting on a rigid body about any point in a plane is equal to the moments of their resultant about the same point. 4. Define the centre of mass...

A Text-book of Applied Mechanics and Mechanical Engineering, Τόμος 1

Andrew Jamieson - 1903 - 584 σελίδες
...the moment of a force about a point, and show that the sum of the moments of any two forces about a point in their plane is equal to the moment of their resultant about the same point. (ICE, Oct., 1897.) 2. Given a system of forces whose lines of action meet in a point, how would you...

Manual

1903 - 898 σελίδες
...of forces in one plane, acting on a rigid body, have a resultant, the algebraic sum of their moments about any point in their plane is equal to the moment of their resultant. Prove that the forces represented by the sides of a triangle taken in order are equivalent to a couple,...

Elements of Theoretical Mechanics

Alexander Ziwet - 1904 - 516 σελίδες
...now be stated in the following form : the algebraic sum of the moments of any two intersecting forces about any point in their plane is equal to the moment of their resultant about the same point. 288. The product Rr represents twice the area of the triangle having R for its base and 5 for its vertex...

Calendar

University of Sheffield - 1905 - 574 σελίδες
...Prove that AR: RB = AR': R'B. 8. Prove that the sum of the moments of two forces in the same plane, about any point in their plane, is equal to the moment of their resultant. Loads of 3, 5, 2, 4 cwt. are placed on a horizontal guider, at distances of 3, 5, 6, 8 feet, respectively,...

Elements of Mechanics Including Kinematics, Kinetics and Statics: With ...

Thomas Wallace Wright - 1906 - 418 σελίδες
...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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