Elements of Natural Philosophy, Volume 1 |
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Page 43
... strain . A ship is said to ' strain ' if , in launching , or when working in a heavy sea , the different parts of it experience relative motions . 136. If , when the matter occupying any space is strained in any way , all pairs of ...
... strain . A ship is said to ' strain ' if , in launching , or when working in a heavy sea , the different parts of it experience relative motions . 136. If , when the matter occupying any space is strained in any way , all pairs of ...
Page 44
... Strain Ellipsoid . 142. In any absolutely unrestricted homogeneous strain there are three directions ( the three principal axes of the strain ellipsoid ) , at right angles to one another , which remain at right angles to one another in ...
... Strain Ellipsoid . 142. In any absolutely unrestricted homogeneous strain there are three directions ( the three principal axes of the strain ellipsoid ) , at right angles to one another , which remain at right angles to one another in ...
Page 45
... strain . First let us suppose there to be no alteration of volume on the whole , and neither elongation nor contraction along the mean principal axis . Z Let OX and OZ be the directions of maximum elongation and maximum contraction ...
... strain . First let us suppose there to be no alteration of volume on the whole , and neither elongation nor contraction along the mean principal axis . Z Let OX and OZ be the directions of maximum elongation and maximum contraction ...
Page 46
... strain under consideration may be produced by holding fast and unaltered the plane of the body through AC , perpendicular to the plane of the diagram , and making every plane parallel to it slide , keep- ing the same distance , through ...
... strain under consideration may be produced by holding fast and unaltered the plane of the body through AC , perpendicular to the plane of the diagram , and making every plane parallel to it slide , keep- ing the same distance , through ...
Page 47
... strain . 157. Hence any strain whatever may be viewed as compounded of a uniform dilatation in all directions , superimposed on a simple elongation in the direction of one principal axis superimposed on a simple shear in the plane of ...
... strain . 157. Hence any strain whatever may be viewed as compounded of a uniform dilatation in all directions , superimposed on a simple elongation in the direction of one principal axis superimposed on a simple shear in the plane of ...
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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.