Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page ix
... Determination of the Motion from given Velocity or Ac- Acceleration directed to a Fixed Centre Curves of Pursuit 30-33 • 33-35 36 37-39 40 Angular Velocity and Acceleration 41-44 Relative Motion Resultant Motion 45-49 50 , 51 Harmonic ...
... Determination of the Motion from given Velocity or Ac- Acceleration directed to a Fixed Centre Curves of Pursuit 30-33 • 33-35 36 37-39 40 Angular Velocity and Acceleration 41-44 Relative Motion Resultant Motion 45-49 50 , 51 Harmonic ...
Page 14
... determination of the correct expression for the whole velocity in terms of its com- ponents . If we resolve the velocity along a line whose inclinations to the axes are A , μ , v , and which makes an angle ✪ with the di- rection of ...
... determination of the correct expression for the whole velocity in terms of its com- ponents . If we resolve the velocity along a line whose inclinations to the axes are A , μ , v , and which makes an angle ✪ with the di- rection of ...
Page 19
... determination of the form of the path described , and of other circumstances of the motion , is a question of pure ... determine x , y , and in terms of t . By eliminating t among these equations , we obtain two equations among x , y ...
... determination of the form of the path described , and of other circumstances of the motion , is a question of pure ... determine x , y , and in terms of t . By eliminating t among these equations , we obtain two equations among x , y ...
Page 35
... determine the path described and the time of crossing . Here , as in the former problem , there are three cases , figured below . In the first , the boat , moving faster than the current , reaches the desired point ; in the second , the ...
... determine the path described and the time of crossing . Here , as in the former problem , there are three cases , figured below . In the first , the boat , moving faster than the current , reaches the desired point ; in the second , the ...
Page 44
... place on the sea for which the simple harmonic constituents of the tide have been determined by the " harmonic analysis " applied to representa- previous observations * . We may exhibit , graphically 44 [ 60 . PRELIMINARY . 62.
... place on the sea for which the simple harmonic constituents of the tide have been determined by the " harmonic analysis " applied to representa- previous observations * . We may exhibit , graphically 44 [ 60 . PRELIMINARY . 62.
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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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