Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
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Page xiii
... Equilibrium - Principle of Virtual Velocities - Neutral Equi- librium - Stable Equilibrium - Unstable Equilibrium- Test of the nature of Equilibrium Deduction of the Equations of Motion of any System - Inde- terminate Equation of Motion ...
... Equilibrium - Principle of Virtual Velocities - Neutral Equi- librium - Stable Equilibrium - Unstable Equilibrium- Test of the nature of Equilibrium Deduction of the Equations of Motion of any System - Inde- terminate Equation of Motion ...
Page xiv
... Equilibrium - Infinitely small Disturbance from Unstable Equilibrium - Potential and Kinetic Energies expressed as Functions of Time-- Example of Fundamental Modes • • SECTIONS 318 , 319 320-330 331-336 337 General Theorem of ...
... Equilibrium - Infinitely small Disturbance from Unstable Equilibrium - Potential and Kinetic Energies expressed as Functions of Time-- Example of Fundamental Modes • • SECTIONS 318 , 319 320-330 331-336 337 General Theorem of ...
Page xv
... Equilibrium -- Normal Displacements from Equilibrium - Theorem of Kinetic Energy - Of Potential Energy - Infinitesimal Motions in neighbourhood of Configuration of Unstable Equilibrium Case of Equality among Periods - Graphic ...
... Equilibrium -- Normal Displacements from Equilibrium - Theorem of Kinetic Energy - Of Potential Energy - Infinitesimal Motions in neighbourhood of Configuration of Unstable Equilibrium Case of Equality among Periods - Graphic ...
Page 43
... equilibrium - tide ( § 812 ) is about 2 · 1 times that of the solar . Hence , if the actual tides conformed to the equilibrium theory , the spring tides would be 3.1 , and the neap tides only 11 , each reckoned in terms of the solar ...
... equilibrium - tide ( § 812 ) is about 2 · 1 times that of the solar . Hence , if the actual tides conformed to the equilibrium theory , the spring tides would be 3.1 , and the neap tides only 11 , each reckoned in terms of the solar ...
Page 98
... equilibrium , may be stable or unstable , according as the ratio of torsional to flexural rigidity is more or less than a certain value depending on the actual degree of twist . The tortuous 8 form is not ( except in the case of whole ...
... equilibrium , may be stable or unstable , according as the ratio of torsional to flexural rigidity is more or less than a certain value depending on the actual degree of twist . The tortuous 8 form is not ( except in the case of whole ...
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Common terms and phrases
action altered angular velocity anticlastic B₁ Cambridge centre of inertia change of direction circle co-ordinates coefficients component condition configuration constant corresponding curvature curve cycloidal cylinder degrees of freedom Demy 8vo denote diagram differential equation direction cosines distance dt dt dx dy dx² dy dy dy dz edition ellipse ellipsoid elongation equal equations of motion equilibrium expression finite fixed fluid force function geodetic geometrical given gyrostatic Hence infinitely small initial integral kinetic energy length moving P₁ parallel parallelepiped particle perpendicular polygon position principal axes quadratic function quantity radius ratio rectangular right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions simple shear solution spherical harmonic spherical surface strain suppose synclastic tangent plane theorem tion twist values Y₁ αξ λ² аф
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