Treatise on Natural Philosophy, Part 1University Press, 1886 - Calculators |
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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 Newton's Laws ...
... 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 Newton's Laws ...
Page xiii
... Axis 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 Abstract Dynamics ...
... Axis 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 Abstract Dynamics ...
Page 14
... axis of x , and so by v , w , for the other two ; dx dy we have u = v = dt " dt ' dz w = Hence , calling a , ẞ , y the dt • angles which the direction of motion makes with the axes , and ds putting q = we have dt ' dx dx dt И COS α ...
... axis of x , and so by v , w , for the other two ; dx dy we have u = v = dt " dt ' dz w = Hence , calling a , ẞ , y the dt • angles which the direction of motion makes with the axes , and ds putting q = we have dt ' dx dx dt И COS α ...
Page 20
... axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration ... axis is parallel to that of the cone . 35. a . When a point moves uniformly in a circle of radius R , with velocity ...
... axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration ... axis is parallel to that of the cone . 35. a . When a point moves uniformly in a circle of radius R , with velocity ...
Page 21
... axis is parallel to that direction . This is the case of a projectile moving in vacuum . For if the axis of y be parallel to the acceleration a , and if the plane of xy be that of motion at any time , " d2z dt2 - 0 , dz = dt 0 , z = = 0 ...
... axis is parallel to that direction . This is the case of a projectile moving in vacuum . For if the axis of y be parallel to the acceleration a , and if the plane of xy be that of motion at any time , " d2z dt2 - 0 , dz = dt 0 , z = = 0 ...
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Common terms and phrases
acceleration action altered angular velocity anticlastic application 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 dy dy dy dz 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 Laplace's equation length moving P₁ parallel parallelepiped particle perpendicular polygon position principal axes 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 whole x₁ y₁ αξ λ² аф