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" ... bottom of which are formed by planes perpendicular to its axis, contains elastic fluid, the weight of which may be neglected. If the vessel revolve uniformly about its axis, find the pressure at any point of the fluid mass. 6. The motion of rotation... "
A Treatise on Infinitesimal Calculus: The dynamics of material systems. 1862 - Página 89
de Bartholomew Price - 1862
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Dynamics: Or, A Treatise on Motion; to which is Added a Short Treatise on ...

Samuel Earnshaw - 1844 - 462 páginas
...velocities and directions of projection. In Art. 193 it has been proved that the motion relative to the centre of gravity is the same as if the centre of gravity were a fixed point. Hence we must apply to each body a velocity equal and opposite to that of the common centre of gravity,...
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Monthly Notices of the Royal Astronomical Society, Volúmenes 13-14

Royal Astronomical Society - 1853 - 584 páginas
...independently of any initial rotatory movement, the pendulum in the course of its oscillations will acquire a motion of rotation about the axis passing through the centre of gravity and the point of suspension. It is shown further that this rotatory motion is not of an oscillatory...
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Five Years in an English University

Charles Astor Bristed - 1874 - 632 páginas
...point of the fluid mass. 6. The motion of rotation of a rigid system acted on by any forces, about its centre of gravity, is the same as if the centre of gravity were fixed, and the same forces acted. A heavy beam moves about a horizontal axis passing through one extremity...
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An Elementary Treatise on Analytic Mechanics: With Numerous Examples

Edward Albert Bowser - 1884 - 550 páginas
...and taken it as the origin of moments. Hence The motion of a body, acted on by any forces, about its centre of gravity is the same as if the centre of gravity were fixed and the same forces acted on the body. That is, from (4) the motion of translation of the centre...
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Examinations Papers

1888 - 666 páginas
...and the pressure on the surface. 7. Prove that the motion of a body acted on by any forces about its centre of gravity is the same as if the centre of gravity were fixed, and the same forces acted on the body. 8. State and prove the principle of vis viva. 9. If a...
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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies: With an ...

Edmund Taylor Whittaker - 1904 - 416 páginas
...evidently be X Sx + YBy + ZBz. The second three equations shew that the motion of the body about its centre of gravity is the same as if the centre of gravity were fixed and the body subjected to the action of the same forces ; for in the motion relative to the centre...
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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies

E. T. Whittaker - 1964 - 490 páginas
...evidently be X &x + Yoy + ZSz. The second three equations shew that the motion of the body about its centre of gravity is the same as if the centre of gravity were fixed and the body subjected to the action of the same forces ; for in the motion relative to the centre...
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A Treatise on the Analytical Dynamics

1944 - 442 páginas
...evidently be XSx + YSy + ZSz. The second three equations shew that the motion of the body about its centre of gravity is the same as if the centre of gravity were fixed and the body subjected to the action of the same forces ; for in the motion relative to the centre...
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The Cambridge University Calendar

University of Cambridge - 1845 - 492 páginas
...point of the fluid mass. 6. The motion of rotation of a rigid system acted on by any forces, about its centre of gravity, is the same as if the centre of gravity were fixed, and the same forces acted. A heavy beam moves about a horizontal axis passing through one extremity...
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