Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
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Page xiv
... Configuration of Unstable 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 ...
... Configuration of Unstable 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 ...
Page xv
... Configuration of 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 ...
... Configuration of 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 ...
Page 159
... configuration , being of course equal in number to the degrees of freedom to move enjoyed by the system , these elements are its co - ordinates . When it is actually moving , their rates of variation per unit of time , or , p , etc ...
... configuration , being of course equal in number to the degrees of freedom to move enjoyed by the system , these elements are its co - ordinates . When it is actually moving , their rates of variation per unit of time , or , p , etc ...
Page 251
... of work during any motion whatever , by which it can pass from one particular configuration to another . Foundation of the theory 272. The whole theory of energy 269. ] 251 DYNAMICAL LAWS AND PRINCIPLES . Conservation of Energy 278, 279.
... of work during any motion whatever , by which it can pass from one particular configuration to another . Foundation of the theory 272. The whole theory of energy 269. ] 251 DYNAMICAL LAWS AND PRINCIPLES . Conservation of Energy 278, 279.
Page 252
... configuration which it has at any instant , is the amount of work required to bring it to that configuration against its mutual forces during the passage of the system from any one chosen configuration to the configuration at the time ...
... configuration which it has at any instant , is the amount of work required to bring it to that configuration against its mutual forces during the passage of the system from any one chosen configuration to the configuration at the time ...
Contents
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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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