A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
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Página 46
... inclined plane bears to the 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 ...
... inclined plane bears to the 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 ...
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
... inclined plane , may make with the plane , and the least elevation of the plane when the par- ticle would , without being supported , slide down it ; to de- termine the angle at which the same force , when inclined to a smooth plane of ...
... inclined plane , may make with the plane , and the least elevation of the plane when the par- ticle would , without being supported , slide down it ; to de- termine the angle at which the same force , when inclined to a smooth plane of ...
Página 54
William Walton. the plane ; hence , making μ negative , or putting - for 4 , we shall have from ( 2 ) , e ' replacing € , P = W sin ( a- ) cos ( e ' + ) ( 3 ) . Also , if e " denote the angle of P's inclination in the case of a smooth plane ...
William Walton. the plane ; hence , making μ negative , or putting - for 4 , we shall have from ( 2 ) , e ' replacing € , P = W sin ( a- ) cos ( e ' + ) ( 3 ) . Also , if e " denote the angle of P's inclination in the case of a smooth plane ...
Página 55
... 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 SINGLE BODY . LET ...
... 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 SINGLE BODY . LET ...
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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
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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...