Elements of Natural Philosophy, Volume 1 |
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Page 71
... centre of inertia of any number of mutually influencing bodies , if in motion , continues moving uniformly in a straight line , unless in so far as the direction or velocity of its motion is changed by forces acting mutually between ...
... centre of inertia of any number of mutually influencing bodies , if in motion , continues moving uniformly in a straight line , unless in so far as the direction or velocity of its motion is changed by forces acting mutually between ...
Page 72
... inertia of the body at the point in question . When the moments of inertia about two of these are equal , the ... centre at the centre of inertia , and its three principal diameters coincident with the three principal axes through these ...
... inertia of the body at the point in question . When the moments of inertia about two of these are equal , the ... centre at the centre of inertia , and its three principal diameters coincident with the three principal axes through these ...
Page 75
... centres and the in- clination of this line to the direction of the terrestrial magnetic force . 247. In nature the ... centre of inertia ; because as long as these periods differ , the tidal action of the earth's surface must keep ...
... centres and the in- clination of this line to the direction of the terrestrial magnetic force . 247. In nature the ... centre of inertia ; because as long as these periods differ , the tidal action of the earth's surface must keep ...
Page 76
... centre ; and must be such as to impede the earth's rotation as long as this is performed in a shorter period than ... inertia of the moon and earth relatively to their common centre of inertia , as is lost by the earth's rotation about ...
... centre ; and must be such as to impede the earth's rotation as long as this is performed in a shorter period than ... inertia of the moon and earth relatively to their common centre of inertia , as is lost by the earth's rotation about ...
Page 79
... centre of inertia only is fixed , since , when its longest dimension is small in comparison with the earth's radius , gravity is , as we shall see , ap- proximately equivalent to a single force through this point . But if , when ...
... centre of inertia only is fixed , since , when its longest dimension is small in comparison with the earth's radius , gravity is , as we shall see , ap- proximately equivalent to a single force through this point . But if , when ...
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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.