A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 132
... instant when the latter body is let go , the velocity of the former body is ( 2ga ) . Since gravity cannot affect the relative velocity of the two bodies , ( 2ga ) is therefore always their relative velocity : hence , b being their ...
... instant when the latter body is let go , the velocity of the former body is ( 2ga ) . Since gravity cannot affect the relative velocity of the two bodies , ( 2ga ) is therefore always their relative velocity : hence , b being their ...
Page 139
... instant from a point in different directions with the same velocity : to find their locus at the end of a given time . Since gravity acts in the same direction and with the same intensity upon all the bodies , their relative motion will ...
... instant from a point in different directions with the same velocity : to find their locus at the end of a given time . Since gravity acts in the same direction and with the same intensity upon all the bodies , their relative motion will ...
Page 141
... instant , with velocities , the horizontal components of which are u , u ' , and the vertical components respectively v , v ' , prove that the time which elapses between their transits through an- other point , which is common to both ...
... instant , with velocities , the horizontal components of which are u , u ' , and the vertical components respectively v , v ' , prove that the time which elapses between their transits through an- other point , which is common to both ...
Page 149
... instant another particle is projected from 4 : find the condition that the particles may meet , and when and where this occurs . The second particle must be projected at right angles to the plane . If a be the inclination of the plane ...
... instant another particle is projected from 4 : find the condition that the particles may meet , and when and where this occurs . The second particle must be projected at right angles to the plane . If a be the inclination of the plane ...
Page 152
... instant of their motion , in the same plane , to prove that they will be so throughout their motion , and that a circle can be described passing through them . If , at one instant of the motion , the particles are in the same plane , it ...
... instant of their motion , in the same plane , to prove that they will be so throughout their motion , and that a circle can be described passing through them . If , at one instant of the motion , the particles are in the same plane , it ...
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Common terms and phrases
accelerating attached balance ball beam body centre of gravity chord circle collision component cylinder denote descent described determine direction distance draw drawn Edition elasticity equal equation equilibrium extremity falling feet fixed forces act former friction fulcrum given point greatest ground hangs heavy hence horizontal plane inches inclined plane intersection join latter length lower magnitude mass meet middle point motion moving opposite parallel particle passes placed portion position of equilibrium pounds pressure produce projection proportional prove pully radius ratio reaction represented respectively rest resultant right angles ring rough seconds SECT shew sides sliding smooth space sphere square straight line string supported supposing suspended tension three forces triangle uniform unit velocity vertical vertical plane wall weight wheel whole
Popular passages
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...