Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page ix
... Angular Velocity and Acceleration 41-44 Relative Motion 45-49 · Resultant Motion 50 , 51 Harmonic Motion 52-57 Composition of Simple Harmonic Motions in one Line Mechanism for compounding , and Graphical Representation of , Harmonic ...
... Angular Velocity and Acceleration 41-44 Relative Motion 45-49 · Resultant Motion 50 , 51 Harmonic Motion 52-57 Composition of Simple Harmonic Motions in one Line Mechanism for compounding , and Graphical Representation of , Harmonic ...
Page x
... Angular Velocities - Composition of suc- cessive Finite Rotations - Rolling Cones - Position of the Body due to given Rotations • Most general Motion of a Rigid Body Precessional Rotation - Model illustrating Precession of Equi- noxes ...
... Angular Velocities - Composition of suc- cessive Finite Rotations - Rolling Cones - Position of the Body due to given Rotations • Most general Motion of a Rigid Body Precessional Rotation - Model illustrating Precession of Equi- noxes ...
Page xvii
... Angular Measure - Measure of Time - Necessity for a Perennial Standard . A Spring sug- gested - Measure of Length , founded on artificial Metallic Standards - Measures of Length , Surface , Volume , Mass . and Work Clock - Electrically ...
... Angular Measure - Measure of Time - Necessity for a Perennial Standard . A Spring sug- gested - Measure of Length , founded on artificial Metallic Standards - Measures of Length , Surface , Volume , Mass . and Work Clock - Electrically ...
Page 14
... angular , dt ' dt ' dt will still be the velocities parallel to the axes , but we shall no longer have ds dt 2 2 2 + + dt dt dt We leave as an exercise for the student the determination of the correct expression for the whole velocity ...
... angular , dt ' dt ' dt will still be the velocities parallel to the axes , but we shall no longer have ds dt 2 2 2 + + dt dt dt We leave as an exercise for the student the determination of the correct expression for the whole velocity ...
Page 22
... angular velocity ( about the centre ) , and let this circle move perpen- dicular to its plane with velocity V. The point describes a helix on a cylinder of radius r , and the inclination a is given by V tan a == rw The curvature of the ...
... angular velocity ( about the centre ) , and let this circle move perpen- dicular to its plane with velocity V. The point describes a helix on a cylinder of radius r , and the inclination a is given by V tan a == rw The curvature of the ...
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Common terms and phrases
acceleration action algebraic altered angular velocity anticlastic application axis Cambridge centre of inertia circle co-ordinates coefficients component condition configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dx dy dy dy dy dz ellipsoid elongation equal equations of motion equilibrium expression finite fixed force formula function geometrical given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy length linear momentum moving negative osculating plane P₁ parallel particle perpendicular polygon position principal axes quadratic quadratic function quantity radius ratio rectangular resultant right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole Y₁ λ² аф
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.