A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
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Página 48
... perfectly smooth , W will be the tension of the string BC . Hence for the equilibrium of the point C we have , resolving vertically the forces which act on it , ( T + W ) cos 0 = P , and , resolving horizontally , Tsin 0 W sin 0 , or T ...
... perfectly smooth , W will be the tension of the string BC . Hence for the equilibrium of the point C we have , resolving vertically the forces which act on it , ( T + W ) cos 0 = P , and , resolving horizontally , Tsin 0 W sin 0 , or T ...
Página 68
... equili- brium is expressed by the equation Pa = Wb sin a , which shews that , if the beam can rest in any one position , it will rest in all positions . ( 18 ) A uniform beam rests upon two perfectly 68 EQUILIBRIUM OF A SINGLE BODY .
... equili- brium is expressed by the equation Pa = Wb sin a , which shews that , if the beam can rest in any one position , it will rest in all positions . ( 18 ) A uniform beam rests upon two perfectly 68 EQUILIBRIUM OF A SINGLE BODY .
Página 69
William Walton. ( 18 ) A uniform beam rests upon two perfectly smooth in- clined planes ; to find its position and its pressures upon the two planes . Let a , a ' , be the inclinations of the two planes to the horizon ; R , R ' , the ...
William Walton. ( 18 ) A uniform beam rests upon two perfectly smooth in- clined planes ; to find its position and its pressures upon the two planes . Let a , a ' , be the inclinations of the two planes to the horizon ; R , R ' , the ...
Página 74
... perfectly smooth , their mutual pressure at every point of the surfaces of contact would take place in some determinate straight line depending upon the forms of the surfaces ; if the consider- ation of roughness be introduced , the ...
... perfectly smooth , their mutual pressure at every point of the surfaces of contact would take place in some determinate straight line depending upon the forms of the surfaces ; if the consider- ation of roughness be introduced , the ...
Página 104
... perfectly rigid , and capable of moving freely about the angular points A , B , C , D , ... ; to determine the form of the polygon that it may be in equi- librium , the lengths of the sides being given . p , q , r , s , Let denote the ...
... perfectly rigid , and capable of moving freely about the angular points A , B , C , D , ... ; to determine the form of the polygon that it may be in equi- librium , the lengths of the sides being given . p , q , r , s , Let denote the ...
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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...