A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
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Página 97
... balls , ( fig . 60 ) , are placed within a hollow vertical cylinder , open at both ends , which rests upon a hori- zontal plane : the weight of each ball is W and radius r , the radius of the cylinder being r ' : to find the least value ...
... balls , ( fig . 60 ) , are placed within a hollow vertical cylinder , open at both ends , which rests upon a hori- zontal plane : the weight of each ball is W and radius r , the radius of the cylinder being r ' : to find the least value ...
Página 212
... ball must impinge upon another equal ball moving with a given velocity , in order that the impinging ball may be reduced to rest by the collision , the common elasticity of the balls being known . If e be the common elasticity , and a ...
... ball must impinge upon another equal ball moving with a given velocity , in order that the impinging ball may be reduced to rest by the collision , the common elasticity of the balls being known . If e be the common elasticity , and a ...
Página 213
... balls in the same straight line , the masses of which are as 2 , 3 , 5 : B and C being at rest , A impinges on B ... ball after its collision with the ( n −1 ) ... . If u , the original velocity of A ,, the SMOOTH SPHERICAL BODIES . 213.
... balls in the same straight line , the masses of which are as 2 , 3 , 5 : B and C being at rest , A impinges on B ... ball after its collision with the ( n −1 ) ... . If u , the original velocity of A ,, the SMOOTH SPHERICAL BODIES . 213.
Página 214
... ball is equal to elu ,; also A , A. 41 = 4 . ( 14 ) Any number of spheres of given elasticity are ar- ranged in a straight line : to one of the extreme ones a given velocity is then communicated so as to bring it into direct col- lision ...
... ball is equal to elu ,; also A , A. 41 = 4 . ( 14 ) Any number of spheres of given elasticity are ar- ranged in a straight line : to one of the extreme ones a given velocity is then communicated so as to bring it into direct col- lision ...
Página 215
... balls , of elasticity e , are projected along a smooth fixed tube in the form of any closed curve , lying in a horizontal plane , from any two points in the tube : supposing u , v , to be the velocities of projection , estimated in the ...
... balls , of elasticity e , are projected along a smooth fixed tube in the form of any closed curve , lying in a horizontal plane , from any two points in the tube : supposing u , v , to be the velocities of projection , estimated in the ...
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Términos y frases comunes
absolute force acted angular velocity attraction axes axis beam body catenary centre of force centre of gravity circle co-ordinates coefficient of friction cos² curve cycloid cylinder denote density descends determine distance dt dt dt² dx dy dx² elastic ellipse equal equation Euler find the centre fixed point hence horizontal plane inclined plane inertia integrating James Bernoulli John Bernoulli lamina mass middle point moment of inertia motion natural length oscillation parabola perpendicular position of equilibrium pressure radius of gyration radius vector resolving forces rest right angles SECT sin² smooth sphere square straight line string supposing surface taking moments tangent tension triangle tube uniform rod varying inversely vertex vertical plane Vis Viva weight
Pasajes populares
Página 203 - A centre of force attracting inversely as the square of the distance is at the centre of a spherical cavity within an infinite mass of liquid, the pressure on which at an infinite distance is...