A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
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Página 2
... , 1670 . 7 Mésure des Surfaces , 1700 . 8 Mém . de l'Acad . des Sciences de Paris , 1714 . 9 Mém . de l'Acad . des Sciences de Paris , 1731 , p . 159 . the origin , and the inclination of r to the 2 CENTRE OF GRAVITY . Symmetrical Area.
... , 1670 . 7 Mésure des Surfaces , 1700 . 8 Mém . de l'Acad . des Sciences de Paris , 1714 . 9 Mém . de l'Acad . des Sciences de Paris , 1731 , p . 159 . the origin , and the inclination of r to the 2 CENTRE OF GRAVITY . Symmetrical Area.
Página 38
... inclination of the tangent at either end to the di- rectrix , the centre of gravity lies in the axis of the catenary at a distance from the directrix equal to a α · Haton de la Goupillière ; Nouvelles Annales de Mathématiques , 2me ...
... inclination of the tangent at either end to the di- rectrix , the centre of gravity lies in the axis of the catenary at a distance from the directrix equal to a α · Haton de la Goupillière ; Nouvelles Annales de Mathématiques , 2me ...
Página 51
... inclination of AB to the horizon . The required angle of inclination = 2 tan . ( 6 ) Two forces P , Q , of known magnitudes , acting respec- tively parallel to the base and length of an inclined plane , will each of them singly sustain ...
... inclination of AB to the horizon . The required angle of inclination = 2 tan . ( 6 ) Two forces P , Q , of known magnitudes , acting respec- tively parallel to the base and length of an inclined plane , will each of them singly sustain ...
Página 53
... inclination of the plane to the horizon , W the weight of the particle . Then , since the friction must in this case act down the plane , we have for the equi- librium of the particle , resolving forces parallel to the inclined plane ...
... inclination of the plane to the horizon , W the weight of the particle . Then , since the friction must in this case act down the plane , we have for the equi- librium of the particle , resolving forces parallel to the inclined plane ...
Página 54
... inclination in the case of a smooth plane of the same elevation , we have , putting = 0 in ( 2 ) , and replacing e by e " , From ( 2 ) and ( 3 ) sin a P = W COS € " . ( 4 ) . W cos ( e− ) + cos ( e ' + 4 ) = P { sin ( x + 4 ) + sin ( a ...
... inclination in the case of a smooth plane of the same elevation , we have , putting = 0 in ( 2 ) , and replacing e by e " , From ( 2 ) and ( 3 ) sin a P = W COS € " . ( 4 ) . W cos ( e− ) + cos ( e ' + 4 ) = P { sin ( x + 4 ) + sin ( a ...
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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...