Elements of Natural Philosophy, Volume 1 |
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Page 59
... Centre of Inertia or Mass of a system of equal material points ( whether connected with one another or not ) is the point whose distance is equal to their average distance from any plane whatever ( § 194 ) . A group of material points ...
... Centre of Inertia or Mass of a system of equal material points ( whether connected with one another or not ) is the point whose distance is equal to their average distance from any plane whatever ( § 194 ) . A group of material points ...
Page 60
... Centre of Inertia or Mass is thus a perfectly definite point in every body , or group of bodies . The term Centre of Gravity is often very inconveniently used for it . The theory of the resultant action of gravity , which will be given ...
... Centre of Inertia or Mass is thus a perfectly definite point in every body , or group of bodies . The term Centre of Gravity is often very inconveniently used for it . The theory of the resultant action of gravity , which will be given ...
Page 61
... Moment of Inertia of the system about this axis ; and the second proposition above is equivalent to— The moment of inertia of a system about any axis is equal to the moment of inertia about a parallel axis through the centre of inertia ...
... Moment of Inertia of the system about this axis ; and the second proposition above is equivalent to— The moment of inertia of a system about any axis is equal to the moment of inertia about a parallel axis through the centre of inertia ...
Page 65
... moment of momentum of the universe ( if finite ) round its centre of inertia is the greatest , which is clearly determinable from the actual motions at any instant , is fixed in direction in space . 212. We may logically convert the ...
... moment of momentum of the universe ( if finite ) round its centre of inertia is the greatest , which is clearly determinable from the actual motions at any instant , is fixed in direction in space . 212. We may logically convert the ...
Page 70
... centre of inertia and moment of momentum , a number of important propo- sitions such as the following : - ( a ) The centre of inertia of a rigid body moving in any manner , but free from external forces , moves uniformly in a straight ...
... centre of inertia and moment of momentum , a number of important propo- sitions such as the following : - ( a ) The centre of inertia of a rigid body moving in any manner , but free from external forces , moves uniformly in a straight ...
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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.