Elements of Natural Philosophy, Volume 1 |
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Page 1
... Equilibrium , is investigated ; in Kinetics , the action of force in producing or in changing motion . 4. In Kinetics it is not mere motion which is investigated , but the relation of forces to motion . The circumstances of mere motion ...
... Equilibrium , is investigated ; in Kinetics , the action of force in producing or in changing motion . 4. In Kinetics it is not mere motion which is investigated , but the relation of forces to motion . The circumstances of mere motion ...
Page 22
... equilibrium theory is about 2.1 times that of the solar . Hence the spring tides of this theory are 3 · 1 , and the neap tides only 1.1 , each reckoned in terms of the solar tide ; and at spring and neap tides the hour of high water is ...
... equilibrium theory is about 2.1 times that of the solar . Hence the spring tides of this theory are 3 · 1 , and the neap tides only 1.1 , each reckoned in terms of the solar tide ; and at spring and neap tides the hour of high water is ...
Page 67
... equilibrium of a number of forces acting at one point , is evidently deducible at once from this ; for if we introduce one other force equal and opposite to their resultant , this will produce a change of motion equal and opposite to ...
... equilibrium of a number of forces acting at one point , is evidently deducible at once from this ; for if we introduce one other force equal and opposite to their resultant , this will produce a change of motion equal and opposite to ...
Page 69
... equilibrium with these forces . Hence Newton's view amounts to this , that all the forces of the system , with the reactions against accelera- tion of the material points composing it , form groups of equilibrating systems for these ...
... equilibrium with these forces . Hence Newton's view amounts to this , that all the forces of the system , with the reactions against accelera- tion of the material points composing it , form groups of equilibrating systems for these ...
Page 70
... equilibrium , in treatises on Analytical Dynamics , before entering in detail on the kinetic branch of the subject , this principle is found practically most useful in showing how we may write down at once the equations of motion for ...
... equilibrium , in treatises on Analytical Dynamics , before entering in detail on the kinetic branch of the subject , this principle is found practically most useful in showing how we may write down at once the equations of motion for ...
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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.