A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 2
... gives the solution of the problem of determining the motion . It will appear further that Newton's Laws are sufficient for the determination of the motion of a system of particles or bodies , whether rigidly connected or not , and lead ...
... gives the solution of the problem of determining the motion . It will appear further that Newton's Laws are sufficient for the determination of the motion of a system of particles or bodies , whether rigidly connected or not , and lead ...
Página 3
... give a brief solution of them . dx ( 1 ) The equation , dy + yf ' ( x ) = F ′ ( x ) , is at once solved by the integrating factor € 5 ( 2 ) , ye1m = √ F ( x ) e3 TM m dx + C. leading to For example , if dy У + dx sin x = tan , the ...
... give a brief solution of them . dx ( 1 ) The equation , dy + yf ' ( x ) = F ′ ( x ) , is at once solved by the integrating factor € 5 ( 2 ) , ye1m = √ F ( x ) e3 TM m dx + C. leading to For example , if dy У + dx sin x = tan , the ...
Página 5
... gives as the integral , ( 10 ) cos rx У + Аεnx + Bε - nx p2 + n2 day dx2 ; + n2y = cos rx . The solution is y = cos rx n2 — p2 - + A cos nx + B sin næ . If nr , then , writing the solution in the DIFFERENTIAL EQUATIONS . 5.
... gives as the integral , ( 10 ) cos rx У + Аεnx + Bε - nx p2 + n2 day dx2 ; + n2y = cos rx . The solution is y = cos rx n2 — p2 - + A cos nx + B sin næ . If nr , then , writing the solution in the DIFFERENTIAL EQUATIONS . 5.
Página 22
... give the expressions for u , v , f , ƒ ” which are obtained in the previous article . 22 . Particular illustrations of the use of the principle of relative velocities and relative accelerations . ( 1 ) A point P describes an equiangular ...
... give the expressions for u , v , f , ƒ ” which are obtained in the previous article . 22 . Particular illustrations of the use of the principle of relative velocities and relative accelerations . ( 1 ) A point P describes an equiangular ...
Página 25
... give a proof directly from the definition of acceleration . Let the curve PQ roll on a straight line , the point P rising from the point A , the dotted line representing its path . When at A , P has no velocity , and when Q is the point ...
... give a proof directly from the definition of acceleration . Let the curve PQ roll on a straight line , the point P rising from the point A , the dotted line representing its path . When at A , P has no velocity , and when Q is the point ...
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Términos y frases comunes
acting forces action angular momentum axes ball body centre of force centre of gravity chain circle circular component constant coordinates cos² curve cycloid described determine the motion diameter direction of motion disc distance ds ds Edition elastic string ellipse equal equations of motion equilibrium Fcap fixed point given h₁ heavy particle Hence hodograph horizontal plane hyperbola impulses inclination initial instant kinetic energy latus rectum mass moment of inertia momenta natural length normal obtain orbit parabola particle moves path perpendicular point moves position prove radius of curvature radius vector relative revolve ring rotation shew sin² smooth horizontal plane sphere straight line surface Taking tangent tension time-flux tube uniform angular velocity uniformly vertex vertical plane weight
Pasajes populares
Página 48 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.