Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page xiii
... Stable Equilibrium - Unstable Equilibrium- Test of the nature of Equilibrium Deduction of the Equations of Motion of any System - Inde- terminate Equation of Motion of any System - of Conser- vative System - Equation of Energy ...
... Stable Equilibrium - Unstable Equilibrium- Test of the nature of Equilibrium Deduction of the Equations of Motion of any System - Inde- terminate Equation of Motion of any System - of Conser- vative System - Equation of Energy ...
Page xv
... stable - Oscillatory subsidence to Stable Equilibrium , or falling away from Unstable - Falling away from wholly Unstable Equilibrium is essentially non - oscillatory if Motional Forces wholly viscous - Stability of Dissipative System ...
... stable - Oscillatory subsidence to Stable Equilibrium , or falling away from Unstable - Falling away from wholly Unstable Equilibrium is essentially non - oscillatory if Motional Forces wholly viscous - Stability of Dissipative System ...
Page xvi
... Stability - Limited Kinetic Stability- Kinetic Stability of a Projectile - General criterion - Ex- amples - Motion of a Particle on an anticlastic Surface , unstable ; -on a synclastic Surface , stable - Differential Equation of ...
... Stability - Limited Kinetic Stability- Kinetic Stability of a Projectile - General criterion - Ex- amples - Motion of a Particle on an anticlastic Surface , unstable ; -on a synclastic Surface , stable - Differential Equation of ...
Page 81
... stable when balanced , i.e. , having its centre of gravity below the pivot ; when in- clined and set spinning non - nutationally . For instance , if a Troughton's top be placed on its pivot in any inclined position , and then spun off ...
... stable when balanced , i.e. , having its centre of gravity below the pivot ; when in- clined and set spinning non - nutationally . For instance , if a Troughton's top be placed on its pivot in any inclined position , and then spun off ...
Page 98
... stable or unstable depends on the relations between torsional and flexural rigidity . If the torsional rigidity is small in comparison with the flexural rigidity [ as ( §§ 703 , 704 , 705 , 709 ) would be the case if , instead of round ...
... stable or unstable depends on the relations between torsional and flexural rigidity . If the torsional rigidity is small in comparison with the flexural rigidity [ as ( §§ 703 , 704 , 705 , 709 ) would be the case if , instead of round ...
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Common terms and phrases
acceleration action algebraic angular velocity anticlastic application arbitrary axis Cambridge centre of inertia circle co-ordinates coefficients component configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dt dy dx dy dy dy dy dz ellipsoid equal equations of motion equilibrium expression finite fixed force formula function give given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy Lagrange's linear mass measured momentum moving negative P₁ parallel particle path perpendicular polygon position principal axes principle quadratic quadratic function quantity radius rectangular resultant rigid body rolling roots rotation round simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values variable whole Y₁ αξ λ² аф
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