Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 1-5 of 17
Page 220
... stress : - Let the whole mutual action between the parts of the wire on the two sides of the cross section at any point ( being of course the action of the matter infinitely near this plane on one side , upon the matter infinitely near ...
... stress : - Let the whole mutual action between the parts of the wire on the two sides of the cross section at any point ( being of course the action of the matter infinitely near this plane on one side , upon the matter infinitely near ...
Page 225
... stress ; let us suppose one end to be held fixed in a given direction , and no other force from without to influence it except that of a rigid frame attached to its other end acted on by a force , R , in a given line , AB , and a couple ...
... stress ; let us suppose one end to be held fixed in a given direction , and no other force from without to influence it except that of a rigid frame attached to its other end acted on by a force , R , in a given line , AB , and a couple ...
Page 230
... stress , offers , when bent and twisted in any manner whatever , not the slightest resistance to being turned round its elastic central curve , as its conditions of equilibrium are in no way affected by turning the whole wire thus ...
... stress , offers , when bent and twisted in any manner whatever , not the slightest resistance to being turned round its elastic central curve , as its conditions of equilibrium are in no way affected by turning the whole wire thus ...
Page 231
... stress is said to be homo- geneous through that space . In other words , the stress experienced by the matter is homogeneous through any space if all equal , similar , and similarly turned portions of matter within this space are ...
... stress is said to be homo- geneous through that space . In other words , the stress experienced by the matter is homogeneous through any space if all equal , similar , and similarly turned portions of matter within this space are ...
Page 232
... stress : P , Q , R the normal components of the forces on these planes ; and S , T , U the tangential components ... stress in a solid , a quadratic surface may always be determined , which shall represent the stress graphically in the ...
... stress : P , Q , R the normal components of the forces on these planes ; and S , T , U the tangential components ... stress in a solid , a quadratic surface may always be determined , which shall represent the stress graphically in the ...
Other editions - View all
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.