A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page v
... Motion , of falling Bodies , Projectiles , Collision , and Cycloidal Oscillations . " The whole number of propositions in Elementary Mechanics , as implied in these extracts from the Schedule , are certainly far from numerous : indeed ...
... Motion , of falling Bodies , Projectiles , Collision , and Cycloidal Oscillations . " The whole number of propositions in Elementary Mechanics , as implied in these extracts from the Schedule , are certainly far from numerous : indeed ...
Page x
... VI . Third system of pullies VII . The Screw · VIII . Common Steelyard CHAPTER X. 111 . ib . ib . . 116 · ib . . 117 118 MISCELLANEOUS PROBLEMS • 120 SECTION DYNAMICS . CHAPTER I. FREE RECTILINEAR MOTION I. Uniform X CONTENTS .
... VI . Third system of pullies VII . The Screw · VIII . Common Steelyard CHAPTER X. 111 . ib . ib . . 116 · ib . . 117 118 MISCELLANEOUS PROBLEMS • 120 SECTION DYNAMICS . CHAPTER I. FREE RECTILINEAR MOTION I. Uniform X CONTENTS .
Page xi
William Walton. SECTION DYNAMICS . CHAPTER I. FREE RECTILINEAR MOTION I. Uniform motion . II . Acceleration PAGE . 125 ib . CHAPTER II . . 127 PROJECTILES . I. Motion resolved horizontally and vertically II . Motion resolved parallel to ...
William Walton. SECTION DYNAMICS . CHAPTER I. FREE RECTILINEAR MOTION I. Uniform motion . II . Acceleration PAGE . 125 ib . CHAPTER II . . 127 PROJECTILES . I. Motion resolved horizontally and vertically II . Motion resolved parallel to ...
Page 72
... motion , prove that the centre of gravity of the weights moves in a horizontal line . ( 30 ) A weight of given magnitude moves along the circum- ference of a circle , in which are fixed also two other weights : prove that the locus of ...
... motion , prove that the centre of gravity of the weights moves in a horizontal line . ( 30 ) A weight of given magnitude moves along the circum- ference of a circle , in which are fixed also two other weights : prove that the locus of ...
Page 74
... supposing that , on a gradual increase of the inclina- tion of the plane , the triangle assumes simultaneously a rolling and a sliding motion . Let a = the inclination of the plane AB , 74 CENTRE OF GRAVITY . Upsetting.
... supposing that , on a gradual increase of the inclina- tion of the plane , the triangle assumes simultaneously a rolling and a sliding motion . Let a = the inclination of the plane AB , 74 CENTRE OF GRAVITY . Upsetting.
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attached body is projected centre of gravity chord coefficient of friction collision component cos² cylinder denote described determine distance equal forces equation feet find the position find the pressure fixed point forces act fulcrum geometry given circle given point hence highest point horizontal plane inclined plane intersection join latus rectum length lever line of quickest lowest point magnitude and direction middle point motion moveable parabola parallel particle pendulum perpendicular point of projection position of equilibrium pound weight pounds prove pully quickest descent radii radius ratio reaction respectively rest resultant right angles seconds SECT shew sides sin² sliding smooth sphere straight line string passing supposing suspended tan¹ three forces uniform rod University of Cambridge velocity of projection vertical circle vertical plane wheel
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Page 145 - OUT of childhood into manhood Now had grown my Hiawatha, Skilled in all the craft of hunters, Learned in all the lore of old men, In all youthful sports and pastimes, In all manly arts and labors. Swift of foot was Hiawatha ; He could shoot an arrow from him, And run forward with such fleetness, That the arrow fell behind him...