A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
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Página 64
... uniform bar AB ( fig . 33 ) is placed in the straight line joining two centres of 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 ...
... uniform bar AB ( fig . 33 ) is placed in the straight line joining two centres of 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 ...
Página 67
... uniform thickness rests with its lower end upon a smooth horizontal plane , and its upper end on a slope inclined at an angle of 60 ° to the horizon ; the ladder makes an angle of 30 ° with the horizon : to find the force which must act ...
... uniform thickness rests with its lower end upon a smooth horizontal plane , and its upper end on a slope inclined at an angle of 60 ° to the horizon ; the ladder makes an angle of 30 ° with the horizon : to find the force which must act ...
Página 68
... uniform hemispherical bowl placed on a horizontal plane ; to find the position in which the bowl will rest . If W denote the weight of the bowl , r the radius of the sphere , c the distance between its centre and its centre of gravity ...
... uniform hemispherical bowl placed on a horizontal plane ; to find the position in which the bowl will rest . If W denote the weight of the bowl , r the radius of the sphere , c the distance between its centre and its centre of gravity ...
Página 69
... uniform beam ABC ( fig . 36 ) is placed with one end A on the inner surface of a fixed hemispherical bowl , the dia- meter of which is less than the length of the beam , and is in contact with the rim of the bowl at the point B ; to ...
... uniform beam ABC ( fig . 36 ) is placed with one end A on the inner surface of a fixed hemispherical bowl , the dia- meter of which is less than the length of the beam , and is in contact with the rim of the bowl at the point B ; to ...
Página 70
... uniform beam rests with one end upon a given in- clined plane , the other end being suspended by a string from a fixed point above the plane ; to determine the position of equi- librium , the tension of the string , and the pressure on ...
... uniform beam rests with one end upon a given in- clined plane , the other end being suspended by a string from a fixed point above the plane ; to determine the position of equi- librium , the tension of the string , and the pressure on ...
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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...