Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page x
... Axes - Composition of Rota- tions and Translations in One Plane - Superposition of Small Motions - Rolling of Curve on ... axis Communication of Angular Velocity equally between Inclined Axes - Hooke's Joint - Universal Flexure Joint ...
... Axes - Composition of Rota- tions and Translations in One Plane - Superposition of Small Motions - Rolling of Curve on ... axis Communication of Angular Velocity equally between Inclined Axes - Hooke's Joint - Universal Flexure Joint ...
Page xii
... Axis - Moment of a whole Motion round an Axis - Re- sultant Axis · Virtual Velocity - Virtual Moment Work - Practical Unit - Scientific Unit - Work of a Force- Work of a Couple - Transformation of Work - Potential Energy - · • 235 , 236 ...
... Axis - Moment of a whole Motion round an Axis - Re- sultant Axis · Virtual Velocity - Virtual Moment Work - Practical Unit - Scientific Unit - Work of a Force- Work of a Couple - Transformation of Work - Potential Energy - · • 235 , 236 ...
Page xiii
... Axis • • 280 , 281 Momental Ellipsoid - Equilibration of Centrifugal Forces- Definition of Principal Axes of Inertia - Principal Axes- Binet's Theorem - Central Ellipsoid - Kinetic Symmetry round a Point ; round an Axis Energy in ...
... Axis • • 280 , 281 Momental Ellipsoid - Equilibration of Centrifugal Forces- Definition of Principal Axes of Inertia - Principal Axes- Binet's Theorem - Central Ellipsoid - Kinetic Symmetry round a Point ; round an Axis Energy in ...
Page 14
... axis of x , and so by v , w , for the other two ; dx dy we have u = v = dt " dz W = Hence , calling a , ẞ , y the dt ' dt angles which the direction of motion makes with the axes , and ds putting 9 = we have dt ' dx cos α = = dx dt ds ...
... axis of x , and so by v , w , for the other two ; dx dy we have u = v = dt " dz W = Hence , calling a , ẞ , y the dt ' dt angles which the direction of motion makes with the axes , and ds putting 9 = we have dt ' dx cos α = = dx dt ds ...
Page 20
... axes is proportional to its distance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the origin at every instant . da dt = = μy ...
... axes is proportional to its distance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the origin at every instant . da dt = = μy ...
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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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