A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page v
... Centre of Gravity . ” " The Elementary parts of Dynamics , treated without the Differential Calculus ; namely , the Doctrine of Uniform and Uniformly accelerated Motion , of falling Bodies , Projectiles , Collision , and Cycloidal ...
... Centre of Gravity . ” " The Elementary parts of Dynamics , treated without the Differential Calculus ; namely , the Doctrine of Uniform and Uniformly accelerated Motion , of falling Bodies , Projectiles , Collision , and Cycloidal ...
Page x
... CENTRE OF GRAVITY 56 • • I. Geometrical method ib . II . Co - ordinate method • 62 III . Upsetting • · IV . Body supported at a point • 74 76 CHAPTER VII . EQUILIBRIUM OF A BODY ACTED ON BY THREE FORCES 79 CHAPTER VIII . EQUILIBRIUM OF ...
... CENTRE OF GRAVITY 56 • • I. Geometrical method ib . II . Co - ordinate method • 62 III . Upsetting • · IV . Body supported at a point • 74 76 CHAPTER VII . EQUILIBRIUM OF A BODY ACTED ON BY THREE FORCES 79 CHAPTER VIII . EQUILIBRIUM OF ...
Page 25
... centre of force , and C the centre of the circle . Draw PQ vertically to intersect the horizontal diameter in Q. Now , since the particle is acted on by two equal forces , the repulsive force along AP , and the force of gravity along QP ...
... centre of force , and C the centre of the circle . Draw PQ vertically to intersect the horizontal diameter in Q. Now , since the particle is acted on by two equal forces , the repulsive force along AP , and the force of gravity along QP ...
Page 41
... middle point of BC , that is , to the centre of gravity of BC : in going from A to B it will have travelled horizontally leftwards through a space 6 W. S. 2a cos 0 , and , in going from B EQUILIBRIUM OF A BODY MOVEABLE ABOUT A FIXED ...
... middle point of BC , that is , to the centre of gravity of BC : in going from A to B it will have travelled horizontally leftwards through a space 6 W. S. 2a cos 0 , and , in going from B EQUILIBRIUM OF A BODY MOVEABLE ABOUT A FIXED ...
Page 43
... centre of gravity of the ladder and W its weight : let R denote the reaction of the wall against the ladder , in both cases . Let BAC - a . Then , when the boy is on the ladder , MOVEABLE ABOUT A FIXED AXIS . 43.
... centre of gravity of the ladder and W its weight : let R denote the reaction of the wall against the ladder , in both cases . Let BAC - a . Then , when the boy is on the ladder , MOVEABLE ABOUT A FIXED AXIS . 43.
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attached axle beam bisect the angle centre of gravity chord coefficient of friction collision component cos² cylinder denote determine distance equal forces equation feet find the inclination find the position find the pressure fixed point forces act fulcrum geometrical given circle given point hangs hence highest point horizontal plane impact impinges inclined plane intersection join latus rectum length lever line of quickest magnitude and direction middle point motion moveable parabola parallel parallelogram particle perpendicular point of projection position of equilibrium pound weight pounds prove pully quickest descent radii radius ratio reaction respectively rest resultant right angles SECT shew sides sin² sliding sphere straight line string passing supposing suspended tan¹ three forces uniform rod University of Cambridge velocity of projection 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...