## Of Motion; an elementary treatise1859 |

### From inside the book

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Page xi

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**strings**ib . 137. General case of motion on a smooth plane curve 77 140. Motion on a cycloid • 79 142 ...**string**150. Motion of a particle suspended to a point , and revolving about a vertical line through that point • 80 ... Page xii

... vertex 4. Mode of describing a cycloid by a

... vertex 4. Mode of describing a cycloid by a

**string**5. Equations to the cycloid . 6. Involute to a cycloid . PROBLEMS 95 · ༄ ༤ ༈༙ ༈༙ ib . 96 ib . 97 99 ΙΟΙ OF MOTION . CHAPTER I. GENERAL PRINCIPLES . - OF xij CONTENTS . Page 62

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**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

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**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 76

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**string**connecting A and B , and T " that of the**string**connecting A and C : also let W , w , w ' , be the weights of A , B , C : then the force causing A to move downwards is W - T - T " ; and the forces causing B and C to move up the ...### Other editions - View all

### Common terms and phrases

acceleration produced apse axes axis balls called center of force circle complete oscillation conic section considered constant acceleration cos² curve cycloid d²r d²x described determine the motion Differential Calculus direction of motion distance ds dt dt dt dt dt² dx dy elastic ellipse equal equation experiments fixed point force acting geometrical h²C horizontal hyperbola idea impact impulse inclined plane initial direction initial position initial velocity initially at rest latus rectum Law of Motion mass material bodies measure moving point NEWTON obtained orbit parabola parallelogram particle path perpendicular point be moving quantity of matter radius vector Second Edition semi-latus rectum shew sin² space passed Statics straight line string supposed tangent tion Treatise Trinity College units of space University of Cambridge v'cos v₁ velocity acquired vertex vertical vis viva weight whence