Elements of Natural Philosophy, Volume 1 |
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Page 64
... Potential Energy ( § 239 ) , if its physical conditions are such that these forces will act equally , and in the same directions , if the motion of the system is reversed . Thus there may be no change of kinetic energy produced , and ...
... Potential Energy ( § 239 ) , if its physical conditions are such that these forces will act equally , and in the same directions , if the motion of the system is reversed . Thus there may be no change of kinetic energy produced , and ...
Page 74
... potential energy , so that the potential energy , in every other configuration practically considered , shall be positive . 246. The potential energy of a conservative system , at any instant , depends solely on its configuration at ...
... potential energy , so that the potential energy , in every other configuration practically considered , shall be positive . 246. The potential energy of a conservative system , at any instant , depends solely on its configuration at ...
Page 75
... potential energy depending on the latter cause , will be a function of the distance between their centres and the in- clination of this line to the direction of the terrestrial magnetic force . 247. In nature the hypothetical condition ...
... potential energy depending on the latter cause , will be a function of the distance between their centres and the in- clination of this line to the direction of the terrestrial magnetic force . 247. In nature the hypothetical condition ...
Page 77
... potential and kinetic energies would be the same at all times : in other words , that every material system subject to no other forces than actions and reactions between its parts , is a dyna- mically conservative system , as defined ...
... potential and kinetic energies would be the same at all times : in other words , that every material system subject to no other forces than actions and reactions between its parts , is a dyna- mically conservative system , as defined ...
Page 78
... potential and kinetic energy produced in the system , together with the work lost in friction . 253. This principle may be regarded as comprehending the whole of abstract dynamics , because , as we now proceed to show , the con- ditions ...
... potential and kinetic energy produced in the system , together with the work lost in friction . 253. This principle may be regarded as comprehending the whole of abstract dynamics , because , as we now proceed to show , the con- ditions ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular cloth co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance elements ellipse ellipsoid elongation equal equations equilibrium external point Extra fcap finite flexure fluid forces acting friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving Natural Philosophy normal section Oxford P₁ parallel particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theory tion torsion uniform unit vertical whole wire
Popular passages
Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.