A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
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Página vii
... Particle on immoveable Plane Curves 313 • III . Motion of a Particle on Rough Plane Curves 324 IV . Inverse Problems on the Motion of a Particle along im- moveable Plane Curves 325 V. VI . Inverse Problems on the Pressure of a Particle ...
... Particle on immoveable Plane Curves 313 • III . Motion of a Particle on Rough Plane Curves 324 IV . Inverse Problems on the Motion of a Particle along im- moveable Plane Curves 325 V. VI . Inverse Problems on the Pressure of a Particle ...
Página 46
... particle lie within a single plane , then two of the three straight lines being taken in this plane , the three equations of equilibrium will evidently be reduced to two . The conditions for the equilibrium of a particle acted on by ...
... particle lie within a single plane , then two of the three straight lines being taken in this plane , the three equations of equilibrium will evidently be reduced to two . The conditions for the equilibrium of a particle acted on by ...
Página 51
... particle of weight W ; to determine the magnitude of W. W = PQ ( P * — Qo ) $ * ( 7 ) Two heavy particles , P and Q ... particle is placed within a thin parabolic tube , ( fig . 23 ) , the axis of the parabola being vertical ; the ...
... particle of weight W ; to determine the magnitude of W. W = PQ ( P * — Qo ) $ * ( 7 ) Two heavy particles , P and Q ... particle is placed within a thin parabolic tube , ( fig . 23 ) , the axis of the parabola being vertical ; the ...
Página 53
... particle . Let e denote the least angle which the force may make with the rough plane to support the particle , P the magnitude of the force , R the reaction of the plane at right angles to itself , μ the coefficient of friction , a the ...
... particle . Let e denote the least angle which the force may make with the rough plane to support the particle , P the magnitude of the force , R the reaction of the plane at right angles to itself , μ the coefficient of friction , a the ...
Página 158
... particle , R the reaction of the plane , POB = e , a = the inclination of AB to the horizon AC . Conceive the particle O to receive a displacement ẞ along the plane AB ; then , the virtual velocity of R being zero , the virtual ...
... particle , R the reaction of the plane , POB = e , a = the inclination of AB to the horizon AC . Conceive the particle O to receive a displacement ẞ along the plane AB ; then , the virtual velocity of R being zero , the virtual ...
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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...