A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
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Página vii
... Lamina at any proposed point in the Lamina 391 CHAPTER VI . D'Alembert's Principle I. Motion of a Single Particle II . Systems of Particles 394 398 411 CHAPTER VII . Motion of Rigid Bodies about Fixed Axes 421 I. Various Problems 421 II ...
... Lamina at any proposed point in the Lamina 391 CHAPTER VI . D'Alembert's Principle I. Motion of a Single Particle II . Systems of Particles 394 398 411 CHAPTER VII . Motion of Rigid Bodies about Fixed Axes 421 I. Various Problems 421 II ...
Página 41
... lamina , supported at its three angular points , is placed a weight equal to that of the lamina : to find the position of the weight if the pressures on the points of support are proportional to 4a + b + c , 4b + c + a , 4c + a + b ...
... lamina , supported at its three angular points , is placed a weight equal to that of the lamina : to find the position of the weight if the pressures on the points of support are proportional to 4a + b + c , 4b + c + a , 4c + a + b ...
Página 73
... lamina is placed with its centre upon a prop ; to find at what points on its circumference three weights must be attached that it may remain at rest in a horizontal position . If 0 ,, 0 , 0 ,, be the angles EQUILIBRIUM OF A SINGLE BODY .
... lamina is placed with its centre upon a prop ; to find at what points on its circumference three weights must be attached that it may remain at rest in a horizontal position . If 0 ,, 0 , 0 ,, be the angles EQUILIBRIUM OF A SINGLE BODY .
Página 184
... lamina upon a molecule at O , when e varies ; the particles of the lamina being supposed to attract according to the law of nature . The resultant attraction varies as log ( cot ) - COS E. ( 8 ) The sides of an isosceles triangle are ...
... lamina upon a molecule at O , when e varies ; the particles of the lamina being supposed to attract according to the law of nature . The resultant attraction varies as log ( cot ) - COS E. ( 8 ) The sides of an isosceles triangle are ...
Página 197
... lamina along the radii OA , OB , OC , be equivalent to forces P ' , Q ' , R ' , acting along the sides BC , CA , AB , of the inscribed triangle ABC , prove that P.P , Q.Q , R. R ' + + BC CA AB = = 0 . ( 18 ) A series of lighted candles ...
... lamina along the radii OA , OB , OC , be equivalent to forces P ' , Q ' , R ' , acting along the sides BC , CA , AB , of the inscribed triangle ABC , prove that P.P , Q.Q , R. R ' + + BC CA AB = = 0 . ( 18 ) A series of lighted candles ...
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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...