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" The centre of gyration is that point in which, if all the matter contained in a revolving system were collected, the same angular velocity will be generated in the same time by a given force acting at any place as would be generated by the same force... "
A Treatise of Mechanics, Theoretical, Practical, and Descriptive - Page 274
by Olinthus Gregory - 1815 - 58 pages
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 2

Isaac Dalby - Mathematics - 1806 - 526 pages
...of bodies, is that point in which if the whole mass were collected, the same angular velocity would be generated in the same time, by a given force acting at any place, as in the system itself. Thus suppose the body mi to be moved with a certain angular velocity about the...
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - Mathematics - 1807 - 464 pages
...point or axis of suspension. 240. The Centre of Gyration, is that point, in which if the whole mass be collected, the same angular velocity will be generated...same time, by a given force acting at any place, as in the body or system itself. 241. The angular motion of a body, or system of bodies, is the motion...
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A Course of Mathematics: Designed for the Use of the Officers ..., Volumes 1-2

Isaac Dalby - Mathematics - 1807 - 968 pages
...of bodies, is that point in which if the whole mass wire collected, the came angular velocity would be generated in the same time, by a given force acting at any place, at iu the system itself. Thus suppose the body tin to be moved with a certain angular velocity about...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 442 pages
...point or axis of suspension. 278. The Centre of Gyration, is that point, in which if the whole mass be collected, the same angular velocity will be generated...same time, by a given force acting at any place, as in the body or system itself. 279. The angular motion of a body, or system of bodies, is the motion...
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A Course of Mathematics for the Use of Academies, as Well as Private Tuition

Charles Hutton - Mathematics - 1822 - 680 pages
...point or axis of suspension. 278., The Centre of Gyration, is that point, in which if the whole mass be collected, the same angular velocity will be generated...same time, by a given force acting at any place, as in the \)ody or system itself. 279. The angular motion of a body, or system of bodies, is the motion...
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A Course of Mathematics for the Use of Academies: As Well as ..., Volume 2

Charles Hutton - Geometry - 1826 - 682 pages
...that point, in which if the whole mass be collected, the same angular velocity will be generated iu the same time, by a given force acting at any place, as in the body or sj'stem itself. 279. The angular motion of a body, or system of bodies, is the motion...
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Mechanics for Practical Men: Containing Explanations of the Principles of ...

James Hann, Isaac Dodds - Mechanics - 1833 - 234 pages
...gyration. Or the centre of gyration may be defined to be that point into which, if the whole mass be collected, the same angular velocity will be generated...same time, by a given force acting at any place, as in the body or system itself. . The angular motion of a body, or system of bodies, is the motion of...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - Mathematics - 1834 - 484 pages
...axis of motion. It is always farther from the point of suspension than the centre of gravity. UEF. 2. The centre of gyration is that point in which, if...motion passes through the centre of gravity, then is the centre called the principal centre of gyration. The distance of the centre of gyration from the...
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Encyclopædia metropolitana; or, Universal dictionary of knowledge ..., Volume 3

Encyclopaedia - 1845 - 902 pages
...compound pendulum. | XXI. Of the centre of gyration. Centre of otcillttion in varioiM bodies. 135 iected, the same angular velocity will be generated in the...same time, by a given force acting at any place, as v--ould be generated by the same force acting similarly and in the same place in the body or system...
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Mathematics for practical men

Olinthus Gilbert Gregory - 1848 - 572 pages
...which, if all the matter contained in a revolving system were collected, the same angular velocity would be generated in the same time by a given force acting...generated by the same force acting similarly in the bodv or system itself. When the axis of motion passes through the center of gravity, then is the center...
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