A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
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Página 4
... straight line CEx bisecting the sectoria area ; and draw Cy at right angles to Cx . Let CE = a , and A Ca = a ; then , Cx , Cy , being the axes of x and y , x = Σ fxy de Σ fy dx ( 1 ) . Now the equations to the straight line CA , and to ...
... straight line CEx bisecting the sectoria area ; and draw Cy at right angles to Cx . Let CE = a , and A Ca = a ; then , Cx , Cy , being the axes of x and y , x = Σ fxy de Σ fy dx ( 1 ) . Now the equations to the straight line CA , and to ...
Página 15
... straight line y = ßx and a parabola y2 = 4mx . x = 8m 582 y = 2m B ( 10 ) To find the centre of gravity of a quadrant of the area of the curve 3+ y3 = a3 , bounded by the axes of co - ordinates . Each of the co - ordinates of the centre ...
... straight line y = ßx and a parabola y2 = 4mx . x = 8m 582 y = 2m B ( 10 ) To find the centre of gravity of a quadrant of the area of the curve 3+ y3 = a3 , bounded by the axes of co - ordinates . Each of the co - ordinates of the centre ...
Página 23
... line AC a straight line RQ is drawn to meet BD at Q , in a plane at right angles to the areas of the rectangle and triangle ; to find the centre of gravity of the volume so generated . Let OAx , OBy , OCz , be taken as axes of x , y , z ...
... line AC a straight line RQ is drawn to meet BD at Q , in a plane at right angles to the areas of the rectangle and triangle ; to find the centre of gravity of the volume so generated . Let OAx , OBy , OCz , be taken as axes of x , y , z ...
Página 25
... straight line , equal in length to the diameter of the circle , the given point bisecting the line to find the centre of gravity of a solid bounded by a surface , which is the locus of a semi - ellipse terminating at the ends of the ...
... straight line , equal in length to the diameter of the circle , the given point bisecting the line to find the centre of gravity of a solid bounded by a surface , which is the locus of a semi - ellipse terminating at the ends of the ...
Página 28
... straight line which bisects the angle AOP : to find the form of the wire . The arc AP is a portion of a lemniscate of which O is the pole . SECT . 6. Curve of Double Curvature . The formulæ for the determination of the centre of gravity ...
... straight line which bisects the angle AOP : to find the form of the wire . The arc AP is a portion of a lemniscate of which O is the pole . SECT . 6. Curve of Double Curvature . The formulæ for the determination of the centre of gravity ...
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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...