Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page ix
... Centre 36 Hodograph 37-39 • Curves of Pursuit 40 Relative Motion Angular Velocity and Acceleration Resultant Motion Harmonic Motion 41-44 45-49 50 , 51 52-57 Composition of Simple Harmonic Motions in one Line Mechanism for compounding ...
... Centre 36 Hodograph 37-39 • Curves of Pursuit 40 Relative Motion Angular Velocity and Acceleration Resultant Motion Harmonic Motion 41-44 45-49 50 , 51 52-57 Composition of Simple Harmonic Motions in one Line Mechanism for compounding ...
Page xii
... Centre of Inertia Centre of Inertia . 227 , 228 229 , 230 Moment - Moment of a Force about a Point - Moment of a Force about an Axis 231 , 232 233 234 Digression on Projection of Areas Couple - its Moment , Arm , and Axis Moment of ...
... Centre of Inertia Centre of Inertia . 227 , 228 229 , 230 Moment - Moment of a Force about a Point - Moment of a Force about an Axis 231 , 232 233 234 Digression on Projection of Areas Couple - its Moment , Arm , and Axis Moment of ...
Page 6
... centre of curvature , C ; and λ , μ , v those of the 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 ) ...
... centre of curvature , C ; and λ , μ , v those of the 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 ) ...
Page 7
... be cut by a sphere of unit radius having its centre at the fixed point . The length of the curve of intersection measures the integral curvature of the of 9. ] 7 KINEMATICS . Curvature and Tortuosity of a Tortuous Curve.
... be cut by a sphere of unit radius having its centre at the fixed point . The length of the curve of intersection measures the integral curvature of the of 9. ] 7 KINEMATICS . Curvature and Tortuosity of a Tortuous Curve.
Page 18
... centre of curvature ( 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 ...
... centre of curvature ( 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 ...
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Common terms and phrases
acceleration action algebraic angular velocity anticlastic application Cambridge centre of inertia circle co-ordinates coefficients component configuration constant corresponding course curvature curve cycloidal cylinder degrees of freedom denote determined differential equation direction cosines displacement distance dt dt dt dy dx dy dy dy dy dz dynamical ellipsoid equal equations of motion equilibrium expression finite fluid force formula function give given gyrostatic Hence impulse infinitely small instant integral kinetic energy length linear mass measured momentum moving negative notation osculating plane 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 motions solution space spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole zero αξ
Popular passages
Page 241 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.