Elements of Natural Philosophy
Cambridge University Press, Jun 10, 2010 - Mathematics - 296 pages
In 1867, Sir William Thomson (later Lord Kelvin) and Peter Guthrie Tate revolutionised physics with the publication of their Treatise on Natural Philosophy, in which they demonstrated the centrality of energy conservation to systems of dynamic movement. Popularly known as 'T&T' for its authors' initials, the Treatise became the standard textbook on natural philosophy, introducing generations of mathematicians to the 'new energy-based dynamics'. In Elements of Natural Philosophy (1873), they distil the portions of the Treatise not requiring higher calculus into a primer suitable for use in university courses. The first half covers the basic principles of kinematics and dynamics, including the motion of points, lines, and volumes, while the second half concerns questions of 'abstract dynamics', including particle attraction. The result of one of the most important collaborations in modern physics, this book remains a thorough introduction to the major principles of Thomson and Tait's larger work.
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Statics of Solids and Fluids
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acceleration action amount angular velocity anticlastic attraction axis called centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant corresponding cosine couple curvature curve cylinder denote density described diagram diameter displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section parallel parallelogram parallelogram of forces particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative 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