Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
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Results 1-5 of 92
Page xii
... perpendicular to the Resultant Axis -Terrestrial Application - Rate of doing work - Horse- power - Energy in Abstract Dynamics 235 , 236 237 238-241 242-270 Conservative System - Foundation of the Theory of Energy- Physical xit CONTENTS .
... perpendicular to the Resultant Axis -Terrestrial Application - Rate of doing work - Horse- power - Energy in Abstract Dynamics 235 , 236 237 238-241 242-270 Conservative System - Foundation of the Theory of Energy- Physical xit CONTENTS .
Page 6
... perpendicular to the osculating plane drawn in the direc- tion relatively to PT and PC , corresponding to that of OZ relatively to OX and OY . Then , using ( 8 ) and ( 9 ) , with ( 7 ) , in ( 5 ) and ( 6 ) respectively , we have dx d dy ...
... perpendicular to the osculating plane drawn in the direc- tion relatively to PT and PC , corresponding to that of OZ relatively to OX and OY . Then , using ( 8 ) and ( 9 ) , with ( 7 ) , in ( 5 ) and ( 6 ) respectively , we have dx d dy ...
Page 13
... , eastward , and up- ward velocities - these being called the components of the whole velocity in the three mutually perpendicular directions N , E , and up . In general the velocity of a point at x , 24. ] 13 KINEMATICS .
... , eastward , and up- ward velocities - these being called the components of the whole velocity in the three mutually perpendicular directions N , E , and up . In general the velocity of a point at x , 24. ] 13 KINEMATICS .
Page 15
... are the resolved parts of the velocity along , and perpendicular to , the radius vector . We may obtain the same result thus , x = r cos 0 , y = r sin 0 . Composi- tion of velocities . Hence dx dr cos ◊ 26. ] 15 KINEMATICS .
... are the resolved parts of the velocity along , and perpendicular to , the radius vector . We may obtain the same result thus , x = r cos 0 , y = r sin 0 . Composi- tion of velocities . Hence dx dr cos ◊ 26. ] 15 KINEMATICS .
Page 18
... ( perpendicular therefore to the direction of motion ) , whose magnitude is proportional to the square of the velocity and also to the curvature of the path . The former of these changes the velocity , the other affects only the form of ...
... ( perpendicular therefore to the direction of motion ) , whose magnitude is proportional to the square of the velocity and also to the curvature of the path . The former of these changes the velocity , the other affects only the form of ...
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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