Treatise on Natural Philosophy, Part 1University Press, 1886 - Calculators |
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Page ix
... Determination of the Motion from given Velocity or Ac- Acceleration directed to a Fixed Centre 33-35 • 36 Hodograph 37-39 • Curves of Pursuit 40 Angular Velocity and Acceleration 41-44 Relative Motion Resultant Motion 45-49 50 , 51 ...
... Determination of the Motion from given Velocity or Ac- Acceleration directed to a Fixed Centre 33-35 • 36 Hodograph 37-39 • Curves of Pursuit 40 Angular Velocity and Acceleration 41-44 Relative Motion Resultant Motion 45-49 50 , 51 ...
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 motion ...
... 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 motion ...
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 25
... substituted from the equa- tion of the path . Other examples of these principles will be met with in 36. ] 25 KINEMATICS . Determination of the Motion from given Velocity or Acceleration directed to a Fixed Centre 33-35.
... substituted from the equa- tion of the path . Other examples of these principles will be met with in 36. ] 25 KINEMATICS . Determination of the Motion from given Velocity or Acceleration directed to a Fixed Centre 33-35.
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 ...
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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