 | William Marrat - 1810 - 512 pàgines
...distance from the. axis of motion, be divided by the body or mass ; the square root of the quotient toil! be the distance of the centre of gyration from the axis of motion. Conceive the body to be made up of any number of particles A, B, D, Arc. and let the distances of these... | |
 | 1810 - 606 pàgines
...g the distance between the centre •of gyration and the axis of motion. Now it is well known that the distance of the centre of gyration from the axis of motion is equal to the square root of the quotient, obtained by multiplying each particle in the balance by... | |
 | Charles Hutton - 1811 - 404 pàgines
...PROPOSITION v. Given the radius R of a wheel, and the radius r, of its axle, the •weight of both, w, and the distance of the centre of gyration from the axis of motion, g ; also a givtn power p acting at the circumference of the wheel; to find the weight w raised by a... | |
 | Charles Hutton - 1812 - 624 pàgines
...PROPOSITIOK v. Given the radius R of a wheel, and the radius r, of its axie, the weight of both, <w, and the distance of the centre of gyration from the axis of motion, j ; also a given fioner p acting at the circumference of the •wheel ; to find the weight w raised... | |
 | Peter Barlow - 1814 - 426 pàgines
...semi-sphere or semi-spheroid со = Jo. 6. Paraboloid = Ja. LXXXVII. Of the Centre of Gyration. Let 8R denote the distance of the centre of gyration from the axis of motion; then ./ ~ - — ; where s denotes the body, and s its fluxion, at the distance x from the axis. Hence... | |
 | Olinthus Gregory - 1815 - 604 pàgines
...2-) w''l ke transformed to and these by the.def. must be equal. Consequently, B-CRI= and CR = COR. 1. The distance of the centre of gyration from the axis of motion is a mean proportional between the distances of the centres of oscillation and gravity, from the same... | |
 | Dionysius Lardner - 1823 - 658 pàgines
...the methods of determining it where the particles of the body form any line or plane surface. Let G be the distance of the centre of gyration from the axis of rotation. By the conditions of its definition, we find where м expresses the mass of the body. Hence,... | |
 | Olinthus Gregory - 1826 - 604 pàgines
...that is, if the momentum of inertia be divided by the whole mass, the square root of the quotient Kill be the distance of the centre of gyration from the axis of motion. For, if CR be the distance from the axis of motion to the centre of gyration, the expression for the... | |
 | Dionysius Lardner - 1831 - 582 pàgines
...the methods of determining it where the particles of the body form any line or plane surface. Let G be the distance of the centre of gyration from the axis of rotation. By the conditions of its definition, we find where M expresses the mass of the body. Hence,... | |
 | William Grier - 1832 - 366 pàgines
...wheel, F, the force acting upon the wheel, D, the distance of the force from the axis of motion, (T, the distance of the centre of gyration from the axis of motion, t, the time the force acts, v, the velocity acquired by the revolving body in that time. XXJ. — „... | |
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G, the distance of the centre of gyration from the axis of motion, t, the time the force acts, v the velocity acquired by the revolving body in that time. 
