A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
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Página 144
... elasticity . This theory was first announced by Hooke , in the form of an anagram , among a list of inventions at the ... elastic string AC ( fig . 84 ) is suspended from its ex- tremity A , and a weight is attached to it at a point B ...
... elasticity . This theory was first announced by Hooke , in the form of an anagram , among a list of inventions at the ... elastic string AC ( fig . 84 ) is suspended from its ex- tremity A , and a weight is attached to it at a point B ...
Página 146
... elastic string , of which the unstretched length is a , is fixed at one end to the summit of a smooth inclined plane the length of which is also equal to a ; to find the length which will hang over the plane , the string being stretched ...
... elastic string , of which the unstretched length is a , is fixed at one end to the summit of a smooth inclined plane the length of which is also equal to a ; to find the length which will hang over the plane , the string being stretched ...
Página 149
... elastic string PQ ; to find their position of equilibrium . Let be the inclination of QP to the horizon ; a , B , the inclinations to the horizon of the planes CA , CB ; a the natural length of the string PQ . Then the position of ...
... elastic string PQ ; to find their position of equilibrium . Let be the inclination of QP to the horizon ; a , B , the inclinations to the horizon of the planes CA , CB ; a the natural length of the string PQ . Then the position of ...
Página 150
... elastic ring rests horizontally on a portion of a surface of revolution , of which the axis is vertical , in every position ; to find the nature of the generating curve . The generating curve is a parabola of which the axis of revo ...
... elastic ring rests horizontally on a portion of a surface of revolution , of which the axis is vertical , in every position ; to find the nature of the generating curve . The generating curve is a parabola of which the axis of revo ...
Página 151
... elastic string AB , being placed upon a smooth horizontal plane . If a be the inclination of each rod to the horizon , when a weight W is fixed to the middle point of each , and a the inclination when a weight W ' is so fixed ; to find ...
... elastic string AB , being placed upon a smooth horizontal plane . If a be the inclination of each rod to the horizon , when a weight W is fixed to the middle point of each , and a the inclination when a weight W ' is so fixed ; to find ...
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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...