Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
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Page xiii
... Principal Axes of Inertia - Principal Axes- Binet's Theorem - Central Ellipsoid - Kinetic Symmetry round a Point ; round an Axis Energy in Abstract Dynamics Equilibrium - Principle of Virtual Velocities - Neutral Equi- librium - Stable ...
... Principal Axes of Inertia - Principal Axes- Binet's Theorem - Central Ellipsoid - Kinetic Symmetry round a Point ; round an Axis Energy in Abstract Dynamics Equilibrium - Principle of Virtual Velocities - Neutral Equi- librium - Stable ...
Page 20
... principal diameters coincide with those axes ; and the acceleration is directed to or from the origin at every instant . dy dt = VIC . dx - му , dt Hence d2x = μνα , dt2 d3y uvy , and the whole acceleration is dt2 Examples of accelera ...
... principal diameters coincide with those axes ; and the acceleration is directed to or from the origin at every instant . dy dt = VIC . dx - му , dt Hence d2x = μνα , dt2 d3y uvy , and the whole acceleration is dt2 Examples of accelera ...
Page 82
... principal axis of greatest moment of inertia , which ( §§ 825 , 285 ) is an axis of approximate kinetic symmetry , the instantaneous axis will , and the fixed axis OA will , relatively to the solid , travel round the solid's axis of ...
... principal axis of greatest moment of inertia , which ( §§ 825 , 285 ) is an axis of approximate kinetic symmetry , the instantaneous axis will , and the fixed axis OA will , relatively to the solid , travel round the solid's axis of ...
Page 83
... principal axis within the limits of observa- tion , and the only cause which would restore the uniform " motion , would be the action of a fluid which would gradually " diminish the oscillations of latitude . The permanence of latitude ...
... principal axis within the limits of observa- tion , and the only cause which would restore the uniform " motion , would be the action of a fluid which would gradually " diminish the oscillations of latitude . The permanence of latitude ...
Page 101
... Principal clastic surface two normal sections , in one of which the cur- vature is a maximum , in the other a minimum ; and these are at right angles to each other . In an anticlastic surface there is maximum curvature ( but in opposite ...
... Principal clastic surface two normal sections , in one of which the cur- vature is a maximum , in the other a minimum ; and these are at right angles to each other . In an anticlastic surface there is maximum curvature ( but in opposite ...
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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