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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 ... - Pagina 9
a cura di - 1901
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 pagine
...1. Assuming the parallelogram of forces, prove that the algebraic sum of the moments of two forces about any point in their plane is equal to the moment of their resultant about the same point. If the algebraic sum of the moments of a system of forces in one plane be separately zero about two...
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Elementary introduction to practical mechanics

John Francis Twisden - 1863 - 390 pagine
...QED Proposition 10. The algebraical sum of the moments of two parallel pressures with reference to any point in their plane is equal to the moment of their resultant with reference to that point. Let P and Q be the two pressures, and let them act Fra. 52 towards the...
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Elementary Introduction to Practical Mechanics: Being the 2d Ed. of ...

John Francis Twisden - 1863 - 412 pagine
...QED Proposition 10. The algebraical sum of the moments of two parallel pressures with reference to any point in their plane is equal to the moment of their resultant with reference to that point. Let P and Q be the two pressures, and let them act Fo M towards the same...
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The Elements of Mechanics, Including Hydrostatics: with Numerous Examples

Samuel Newth - 1864 - 392 pagine
...the pressure on the circle is equal to JW. 31. The moment of the resultant of two converging forces about any point in their plane is equal to the moment of their resultant. Let P and Q be forces acting on the point O, and let R be the resultant, making the angles a and /3...
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An Elementary Treatise on Rational Mechanics: By the Rev. John Kerr

John Kerr - 1866 - 358 pagine
...Theorem. If any number of forces act upon a point in one plane, the algebraic sum of their moments about any point in their plane is equal to the moment of their resultant about the same point. Let A be the point of application; P, Q, S, . . the forces, and R their resultant; OQ the centre of...
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Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 pagine
...geometrical construction. Prove that the algebraic sum of the moments of two forces which are not parallel, about any point in their plane, is equal to the moment of their resultant. 3. Find the centre of gravity of a triangular lamina (or triangle) of uniform thickness and density....
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Mechanics required for the Additional Subjects for Honours at the Previous ...

James McDowell - 1867 - 120 pagine
...the point A lies on the line of action of the resultant, since the sum of the moments of the forces about any point in their plane is equal to the moment of the resultant about the same point. Similarly, the points B and C lie on the line of action of the...
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A treatise on elementary statics, Volume 12

James Hamblin Smith - 1868 - 102 pagine
...hands of a watch revolve, or the contrary. 6. The algebraic sum of the moments of two parallel forces about any point in their plane is equal to the moment of their resultant about that point. CASE I. When the forces act in the same direction. Let A, B be two points in the lines...
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Elementary Introduction to Practical Mechanics, Illustrated by Numerous ...

John Francis Twisden - 1868 - 364 pagine
...E, D. Proposition 10. The algebraical sum of the moments of two parallel pressures with reference to any point in their plane is equal to the moment of their resultant ivith reference to that point. Let p and Q be the two pressures, and let them act towards the same...
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Dublin examination papers

Dublin city, univ - 1868 - 360 pagine
...Mil. TOWNSEND. 1. Prove that, when two forces intersect, the sum or difference of their moments round any point in their plane is equal to the moment of their resultant round the same point in the plane. 2. Prove that, when two forces are parallel, the sum or difference...
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