Elements of Natural Philosophy, Volume 1 |
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Page 78
... infinitely small motion in either direction , it shall resist , or shall do , as much work as the other forces , whether applied or internal , altogether do or resist . Now , by the principle of superposition of forces in equilibrium ...
... infinitely small motion in either direction , it shall resist , or shall do , as much work as the other forces , whether applied or internal , altogether do or resist . Now , by the principle of superposition of forces in equilibrium ...
Page 79
... infinitely small deviation in any of its parts , from the position of equilibrium , the equilibrium in this position is said to be stable . A weight sus- pended by a string , a uniform sphere in a hollow bowl , a loaded sphere resting ...
... infinitely small deviation in any of its parts , from the position of equilibrium , the equilibrium in this position is said to be stable . A weight sus- pended by a string , a uniform sphere in a hollow bowl , a loaded sphere resting ...
Page 80
... infinitely small displacement from a position of equilibrium there is more potential energy stored up than work done , the equilibrium is thoroughly stable , and not unless . If in any or in every infinitely small displacement from a ...
... infinitely small displacement from a position of equilibrium there is more potential energy stored up than work done , the equilibrium is thoroughly stable , and not unless . If in any or in every infinitely small displacement from a ...
Page 87
... small friction through a clip fixed close to the position occupied by that point when the pendulum hangs at rest ... infinitely short ) , although the work done by each particular impact is , in general , different according to the order ...
... small friction through a clip fixed close to the position occupied by that point when the pendulum hangs at rest ... infinitely short ) , although the work done by each particular impact is , in general , different according to the order ...
Page 90
... infinitely small thickness of the space between any two such surfaces corresponding to amounts of action differing by any infinitely small quantity , is inversely proportional to the velocity of the particle traversing it ; being equal ...
... infinitely small thickness of the space between any two such surfaces corresponding to amounts of action differing by any infinitely small quantity , is inversely proportional to the velocity of the particle traversing it ; being equal ...
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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 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 P₂ 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 theorem 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.