A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
Dentro del libro
Resultados 1-5 de 59
Página 8
... diameter . If the bisecting diameter be taken as the axis of y , and the conjugate diameter as the axis of x , the equation to the ellipse will be b2 - y2 = — ( a2 — x2 ) , and we shall have π = a2 4a 3πT Guldin ; Centrobaryca , Lib . I ...
... diameter . If the bisecting diameter be taken as the axis of y , and the conjugate diameter as the axis of x , the equation to the ellipse will be b2 - y2 = — ( a2 — x2 ) , and we shall have π = a2 4a 3πT Guldin ; Centrobaryca , Lib . I ...
Página 9
... diameters . If CP = a , CD = b , and CP , CD , produced indefinitely , be taken as the axes of x , y , the equation to the ellipse will be b2 a2 y2 : = = = ( a2 — x2 ) . - ( 1 ) ; and for the position of the centre of gravity we have ...
... diameters . If CP = a , CD = b , and CP , CD , produced indefinitely , be taken as the axes of x , y , the equation to the ellipse will be b2 a2 y2 : = = = ( a2 — x2 ) . - ( 1 ) ; and for the position of the centre of gravity we have ...
Página 21
... diameter of the hemisphere , and the solid being bisected by a plane passing through its axis . x Take the centre of the sphere as the origin of co - ordinates , and the axis of the paraboloid as the axis of z ; also let the axis of a ...
... diameter of the hemisphere , and the solid being bisected by a plane passing through its axis . x Take the centre of the sphere as the origin of co - ordinates , and the axis of the paraboloid as the axis of z ; also let the axis of a ...
Página 25
... 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 , which is the major axis of ...
... 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 , which is the major axis of ...
Página 40
... diameter through the said point into two parts which bear to each other the ratio of 2 to 3 . ( 11 ) To find the centre of gravity of a solid sphere , the density of which varies inversely as the fifth power of the dis- tance from an ...
... diameter through the said point into two parts which bear to each other the ratio of 2 to 3 . ( 11 ) To find the centre of gravity of a solid sphere , the density of which varies inversely as the fifth power of the dis- tance from an ...
Contenido
1 | |
9 | |
15 | |
25 | |
26 | |
42 | |
48 | |
56 | |
89 | |
103 | |
153 | |
169 | |
179 | |
189 | |
206 | |
219 | |
234 | |
248 | |
263 | |
279 | |
295 | |
298 | |
473 | |
491 | |
507 | |
523 | |
535 | |
542 | |
560 | |
577 | |
588 | |
602 | |
630 | |
643 | |
664 | |
Otras ediciones - Ver todas
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...