A Treatise on DynamicsGeorge Bell, and Sons, 1885 - 334 páginas |
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... Hodograph and Brachistochrone 205-215 Examples 215-219 CHAPTER XI . 169-176 Two Particles acting on each other 220-225 Examples 226-228 CHAPTER XII . 177-201 Energy and Momentum Examples CHAPTER XIII . 202-229 Equations of Motion ...
... Hodograph and Brachistochrone 205-215 Examples 215-219 CHAPTER XI . 169-176 Two Particles acting on each other 220-225 Examples 226-228 CHAPTER XII . 177-201 Energy and Momentum Examples CHAPTER XIII . 202-229 Equations of Motion ...
Página 204
... a cos & − g cos a = where is the angular velocity of the point of contact round the vertical and a the inclination of the plane of the tube to the horizon . CHAPTER X. THE HODOGRAPH AND THE BRACHISTOCHRONE . 158. The 204 EXAMPLES .
... a cos & − g cos a = where is the angular velocity of the point of contact round the vertical and a the inclination of the plane of the tube to the horizon . CHAPTER X. THE HODOGRAPH AND THE BRACHISTOCHRONE . 158. The 204 EXAMPLES .
Página 205
... Hodograph . If from any fixed point a straight line be drawn parallel to the direction of motion of a moving point and of a length proportional to the velocity of the point , the locus of its extremity is the hodograph of the path of ...
... Hodograph . If from any fixed point a straight line be drawn parallel to the direction of motion of a moving point and of a length proportional to the velocity of the point , the locus of its extremity is the hodograph of the path of ...
Página 206
... hodograph , ƒ = ở , that is , the velocity in the hodograph is equal to the acceleration of the particle . If for instance a particle move in a plane curve under the action of a force making a constant angle with the direction of motion ...
... hodograph , ƒ = ở , that is , the velocity in the hodograph is equal to the acceleration of the particle . If for instance a particle move in a plane curve under the action of a force making a constant angle with the direction of motion ...
Página 207
... hodo- graph is the reciprocal polar of the path , turned through a right angle . Y For , if SQV = h / p , SQ will be the radius vector of the hodograph , turned through a right angle . Or , which is the same thing , the hodograph is the ...
... hodo- graph is the reciprocal polar of the path , turned through a right angle . Y For , if SQV = h / p , SQ will be the radius vector of the hodograph , turned through a right angle . Or , which is the same thing , the hodograph is the ...
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Términos y frases comunes
acceleration acting forces action angular momentum angular velocity axes ball bead brachistochrone central orbit centre of force centre of gravity chain circle constant cos² Crown 8vo curve cycloid described determine the motion diameter disc distance elastic string ellipse equal equations of motion equiangular spiral equilibrium F. A. Paley Fcap fixed point force varying given heavy particle Hence hodograph horizontal plane hyperbola impulses inclination initial kinetic energy latus rectum mass momenta natural length normal obtain orbit parabola parallel particle is projected particle moves path perpendicular potential energy pressure prove relative ring rotation shew sin² slide smooth horizontal plane sphere straight line surface Taking tangent tension time-flux tube uniform angular velocity varying inversely vertex vertical plane weight wire
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