A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
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Página 40
... Forces : the Centre of Gravity of a body is a particular case of this . Let x , y , z , denote the co - or- dinates of the point of application of any force P of the system referred to any axes , rectangular or oblique ; and let x , y ...
... Forces : the Centre of Gravity of a body is a particular case of this . Let x , y , z , denote the co - or- dinates of the point of application of any force P of the system referred to any axes , rectangular or oblique ; and let x , y ...
Página 46
... force by which it is sustained , the force being supposed to act along the plane . He then announces generally , without however supplying a corresponding extension of demonstration , that the condition of equilibrium of any three forces ...
... force by which it is sustained , the force being supposed to act along the plane . He then announces generally , without however supplying a corresponding extension of demonstration , that the condition of equilibrium of any three forces ...
Página 53
... force , when inclined to a smooth plane of the same elevation , would support the same particle . Let e denote the least angle which the force may make with the rough plane to support the particle , P the magnitude of the force , R the ...
... force , when inclined to a smooth plane of the same elevation , would support the same particle . Let e denote the least angle which the force may make with the rough plane to support the particle , P the magnitude of the force , R the ...
Página 55
... force . If denote the inclination of the force to the inclined plane , a the plane's inclination , and μ the coefficient of friction , 0 = α - 23 + } π , where may have any value from - tanμ to + tanμ . CHAPTER III . EQUILIBRIUM OF A ...
... force . If denote the inclination of the force to the inclined plane , a the plane's inclination , and μ the coefficient of friction , 0 = α - 23 + } π , where may have any value from - tanμ to + tanμ . CHAPTER III . EQUILIBRIUM OF A ...
Página 64
... force K , L , which attract with forces varying directly as the distance ; to find the position in which the bar will rest . Let μ , u ' , be the absolute forces of the centres K , L ; let P be any point in the bar AB ; KA = x , LB = y ...
... force K , L , which attract with forces varying directly as the distance ; to find the position in which the bar will rest . Let μ , u ' , be the absolute forces of the centres K , L ; let P be any point in the bar AB ; KA = x , LB = y ...
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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...