A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
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Página i
... nature of this work , on particular questions which may excite an interest in his mind : his chief object , however , has been , to offer every facility to those , who have already overcome at least the elementary difficulties of the ...
... nature of this work , on particular questions which may excite an interest in his mind : his chief object , however , has been , to offer every facility to those , who have already overcome at least the elementary difficulties of the ...
Página 3
... nature of the limits in the double integrations will depend upon the form of the area in each particular case . Supposing the area to consist of several portions , the bounda- ries of which are defined by distinct equations , the above ...
... nature of the limits in the double integrations will depend upon the form of the area in each particular case . Supposing the area to consist of several portions , the bounda- ries of which are defined by distinct equations , the above ...
Página 12
... nature of the parabola , m r = cos * 10 ; hence Some r2 cos ( π — 0 ) de dr - { m3 · = - and therefore but = cos 10 ̄ ̄ 1 + tan2 10 cos 0 10 hence 0 cos 10 do , COS r2 cos ( π − 0 ) de dr = code ; - COS 0 1 - tan210 1 1 - tan210 = - 3 ...
... nature of the parabola , m r = cos * 10 ; hence Some r2 cos ( π — 0 ) de dr - { m3 · = - and therefore but = cos 10 ̄ ̄ 1 + tan2 10 cos 0 10 hence 0 cos 10 do , COS r2 cos ( π − 0 ) de dr = code ; - COS 0 1 - tan210 1 1 - tan210 = - 3 ...
Página 20
... nature of the bounding surface of the solid . It is often more convenient to make use of polar co - ordinates and to divide the solid into polar elements instead of in- finitesimal parallelepipeds . ( 1 ) To find the centre of gravity ...
... nature of the bounding surface of the solid . It is often more convenient to make use of polar co - ordinates and to divide the solid into polar elements instead of in- finitesimal parallelepipeds . ( 1 ) To find the centre of gravity ...
Página 47
... nature of the lever . The idea of a triangle of equilibrium had occurred indeed somewhat earlier to Michael Varro , of Geneva , in application to the equilibrium of forces acting on the sides of a right - angled triangular wedge : it ...
... nature of the lever . The idea of a triangle of equilibrium had occurred indeed somewhat earlier to Michael Varro , of Geneva , in application to the equilibrium of forces acting on the sides of a right - angled triangular wedge : it ...
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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...