Elements of Natural Philosophy, Volume 1 |
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Page 38
... body about its instantaneous axis . 117. The motion of the plane containing these axes is called the precession in ... body bounded by any curved surface to be touched at any point by another such body . Any motion of one on the other ...
... body about its instantaneous axis . 117. The motion of the plane containing these axes is called the precession in ... body bounded by any curved surface to be touched at any point by another such body . Any motion of one on the other ...
Page 43
... body in its initial state , the portion of the body cut by it will continue to be a straight line when the body is homogeneously strained . For , if ABC be any such line , AB and BC , being parallel to one line in the initial , remain ...
... body in its initial state , the portion of the body cut by it will continue to be a straight line when the body is homogeneously strained . For , if ABC be any such line , AB and BC , being parallel to one line in the initial , remain ...
Page 44
... body . Along one of these the elongation is greater , and along another less , than along any other direction in the body . Along the remaining one the elongation is less than in any other line in the plane of itself and the first men ...
... body . Along one of these the elongation is greater , and along another less , than along any other direction in the body . Along the remaining one the elongation is less than in any other line in the plane of itself and the first men ...
Page 45
... body in its primitive condition , and A , the same point of the altered body , so that OA , = a.OA. Now , if we take OC = OA ,, and if C , be the position of that point of the body which was in the position C initially , we shall have ...
... body in its primitive condition , and A , the same point of the altered body , so that OA , = a.OA. Now , if we take OC = OA ,, and if C , be the position of that point of the body which was in the position C initially , we shall have ...
Page 46
... body through AC , perpendicular to the plane of the diagram , and making every plane parallel to it slide , keep ... body , and the lines bisecting the altered angles are the principal axes of the strain in the altered body . Otherwise ...
... body through AC , perpendicular to the plane of the diagram , and making every plane parallel to it slide , keep ... body , and the lines bisecting the altered angles are the principal axes of the strain in the altered body . Otherwise ...
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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 co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point 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 normal section P₁ P₂ parallel parallelogram of forces particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular 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