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" BC, or in other words that BC is very large compared with AB. If Q gradually diminishes until it becomes equal to P, R will gradually diminish to zero; but while it diminishes, the product R . BC will remain constant, being always equal to P . AB. A very... "
Mechanics, hydrostatics and pneumatics - Page 13
by Augustin Privat-Deschanel - 1884
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An Elementary Treatise on Rational Mechanics: By the Rev. John Kerr

John Kerr - Mechanics - 1866 - 358 pages
...the same or contrary directions. 83. 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,...
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The elements of mechanics; including hydrostatics

Samuel Newth - Mechanics, Analytic - 1879 - 370 pages
...must be in the resultant. 44. If any number of forces parallel or convergent act in the same plane, the algebraic sum of their moments about any point in their plane is equal to the moment of the resultant about that point. Let P,, P,, P3, &c., be the forces, pa pa py...
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Elementary Treatise on Natural Philosophy, Part 1

Augustin Privat-Deschanel - Electricity - 1880 - 1176 pages
...little greater than P, so that QP, or R is only a small fraction •p T> of P, the equation gg =-rg shows that AB is only a small fraction of BC, or in...directions applied to the same body. The distance betiveen their lines of action is called the arm of the couple, and the product of one of the two equal...
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Questions and Exercises on Stewart's Lessons in Elementary Physics

George Anthony Hill - Physics - 1880 - 204 pages
...of forces ? MOMENTS AND COUPLES. 245. Prove that if any number of forces act on 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 In what two cases is this algebraic sum...
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Questions in chemistry and natural philosophy, given at the matriculation ...

London univ, exam. papers - 1881 - 122 pages
...ladder. 40. Explain what is meant by the moment of a force. Prove that when two forces act on a point, the algebraic sum of their moments about any point in their plane is equal to the moment of their resultant about the same point. 41. State the condition in order that...
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Elementary Treatise on Natural Philosophy, Part 1

Augustin Privat-Deschanel - Physics - 1883 - 282 pages
...Q is very little greater than P, so that QP, or R is only a small fraction of P, the equation gg = jg shows that AB is only a small fraction of BC, or...called the moment of the couple. A couple consists of t^co equal and parallel forces in opposite directions applied to the same body. The distance between...
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Elementary Treatise on Natural Philosophy: Mechanics, hydrostatics, and ...

Augustin Privat-Deschanel - Physics - 1883 - 286 pages
...only a small fraction "PT? of P, the equation JJQ =^g shows that AB is only a small fraction of EC, or in other words that BC is very large compared with...called the moment of the couple. A couple consists of t^vo equal and parallel forces in opposite directions applied to the same body. The distance between...
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Elementary Treatise on Natural Philosophy, Part 1

Augustin Privat-Deschanel - Physics - 1883 - 282 pages
...only a small fraction T> 'D of P, the equation gg = jg shows that AB is only a small fraction of EC, or in other words that BC is very large compared with...called the moment of the couple. A couple consists of tivo equal and parallel forces in opposite directions applied to the same body. The distance between...
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An Elementary Treatise on Kinematics and Dynamics

James Gordon MacGregor - Dynamics - 1887 - 540 pages
...velocities of a moving point can be represented by the sides of a plane polygon, taken the same way round, the algebraic sum of their moments about any point in their plane is zero. (4) Show that, if the algebraic sums of the moments of the component velocities of a moving point...
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An Elementary Treatise on Kinematics and Dynamics

James Gordon MacGregor - Dynamics - 1887 - 540 pages
...velocities of a moving point can be represented by the sides of a plane polygon, taken the same way round, the algebraic sum of their moments about any point in their plane is zero. (4) Show that, if the algebraic sums of the moments of the component velocities of a moving point...
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