Of Motion: An Elementary Treatise |
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Page xi
... strings ib . General case of motion on a smooth plane curve 77 140 . Motion on a cycloid 79 142 . Oscillations in a ... string 84 150. Motion of a particle suspended to a point , and revolving about a vertical line through that point 85 ...
... strings ib . General case of motion on a smooth plane curve 77 140 . Motion on a cycloid 79 142 . Oscillations in a ... string 84 150. Motion of a particle suspended to a point , and revolving about a vertical line through that point 85 ...
Page xii
... of arc , measured from vertex 4 . Mode of describing a cycloid by a string 5. Equations to the cycloid . 6. Involute to a cycloid PROBLEMS · · 95 ib . 96 ib . 97 99 • ΙΟΙ OF MOTION . CHAPTER I. GENERAL PRINCIPLES . - OF xij CONTENTS .
... of arc , measured from vertex 4 . Mode of describing a cycloid by a string 5. Equations to the cycloid . 6. Involute to a cycloid PROBLEMS · · 95 ib . 96 ib . 97 99 • ΙΟΙ OF MOTION . CHAPTER I. GENERAL PRINCIPLES . - OF xij CONTENTS .
Page 62
... strings or rods in this case the forces exerted by any two particles are equal in magnitude and opposite in direction , and we should therefore expect the same to hold good in Dynamics . Since under the conventions we have adopted the ...
... strings or rods in this case the forces exerted by any two particles are equal in magnitude and opposite in direction , and we should therefore expect the same to hold good in Dynamics . Since under the conventions we have adopted the ...
Page 63
... string over a pulley . Let W , W ' be the weights of the bodies , ( W > W ' ) , and g the acceleration due to gravity , i . e . the acceleration of motion in a body falling freely under its own weight . Also let T be the tension of the ...
... string over a pulley . Let W , W ' be the weights of the bodies , ( W > W ' ) , and g the acceleration due to gravity , i . e . the acceleration of motion in a body falling freely under its own weight . Also let T be the tension of the ...
Page 75
... strings . 76 MOTION OF BODIES CONNECTED WITH STRINGS . B Then ON THE VERTICAL SPACE DESCENDED . 75 Times of descent down chords of a circle through the highest or lowest point.
... strings . 76 MOTION OF BODIES CONNECTED WITH STRINGS . B Then ON THE VERTICAL SPACE DESCENDED . 75 Times of descent down chords of a circle through the highest or lowest point.
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accele acceleration produced axes axis balls center of force chord circle complete oscillation conic section constant acceleration cos² curve cycloid described determine the motion determined in Arts Differential Calculus direction of motion dt dt dt² earth's effect elastic ellipse equal equation fixed point focus force acting force of constraint force varying geometrical horizontal hyperbola impact impulse inclined plane inelastic initial direction initially at rest instant Ipswich School latus rectum Law of Motion length lowest point magnitude measure moving point NEWTON obtained Octavo orbit parabola parallelogram particle path perpendicular point of projection quantity of matter radius vector Second Edition Sermons shew sin² space passed straight line string supposed tangent tion Treatise Trinity College University of Cambridge v₁ versin vertex vis viva weight whence
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