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" Hence the moment of the resultant is equal to the sum of the moments of the two components. "
A treatise on the dynamics of a particle, by P.G. Tait and W.J. Steele - Σελίδα 14
των Peter Guthrie Tait - 1865
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American Quarterly Review, Τόμος 5

Robert Walsh - 1829 - 532 σελίδες
...the planes, which are called the axes of the co-ordinates ; and for any number of forces whatsoever, the moment of the resultant is equal to the sum of the moments of its components. As matter is incapable of setting itself in motion, t so neither can it...

The Elements of the Theory of Mechanics

Robert Walker - 1830 - 268 σελίδες
...called the moment of i !n. force with reference to the point. Hence the last equatios •hvw* that the moment of the resultant is equal to the sum of the IiUHlH nt\ of the several components. Mv the sum of the moments we must understand the sum 'if ouch...

The Elements of Mechanics, Comprehending Statics and Dynamics: With a ...

John Radford Young - 1832 - 390 σελίδες
...of Pn; hence the foregoing equation is the same as Rr = Pp + P,pt + P2p2-r-P2/i2 + &c (6); so that the moment of the resultant is equal to the sum of the moments nf the components. In the fioure to which our reasoning has been applied we have so taken the...

Pantology: Or, A Systematic Survey of Human Knowledge; Proposing a ...

Roswell Park - 1841 - 624 σελίδες
...the force to turn the body around the origin, considered as a fixed axis. In any system of forces, the moment of the resultant is equal to the sum of the moments of all the components. This important fact is called the principle of moments. The centre of...

Pantology

Roswell Park - 1847 - 626 σελίδες
...the force to turn the body around the origin, considered as a fixed axis. In any system of forces, the moment of the resultant is equal to the sum of the moments of all the components. This important fact is called the principle of moments. The centre of...

Theoretical and Practical Mechanics: Designed Principally for Practical Men

James Hann - 1848 - 352 σελίδες
...ODC-JDC. Now OAC = OAD = • ODCADC = AC x Ob DC x Oc 2 ' DC x ac Consequently, AC x Ob = AD x Od-AB x Oa. Hence, the moment of the resultant is equal to the sum of the moments of the components, which tend to turn the body in one direction, minus the sum of the moments...

The Principles and Practice of Statics and Dynamics, Embracing a Clear ...

T. Baker - 1851 - 160 σελίδες
...resolved into innumerable other forces, the proposition is true for any number of forces. 30. COR. 1. — Hence the moment of the resultant is equal to the sum of the moments of its components. 31. PROP. — To find the resultant of two parallel forces acting perpendicularly...

The principles and practice of statics and dynamics

Thomas Baker (C.E.) - 1851 - 176 σελίδες
...resolved into innumerable other forces, the proposition is true for any number of forces. 30. COR. 1 . — Hence the moment of the resultant is equal to the sum of the moments of its components. 31. PEOP. — To find the resultant of two- parallel forces acting perpendicularly...

Principles and Practice of Statics and Dynamics: Embracing a Clear ...

Thomas Baker - 1851 - 188 σελίδες
...resolved into innumerable other forces, the proposition is true for any number of forces. 30. COR. 1. — Hence the moment of the resultant is equal to the sum of the moments of its components. 31. PROP. — To find the resultant of two parallel forces acting perpendicularly...

The Principles and Practice of Statics and Dynamics, Embracing a Clear ...

T. Baker - 1851 - 172 σελίδες
...into innumerable other forces, the proposition is true for any number of forces. 30. COR. 1.—Hence the moment of the resultant is equal to the sum of the moments of its components. 31. PROP.—To find the resultant of two parallel force* acting perpendicularly...




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