A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 2
... spherical in form , and that their dimensions are very small in comparison with their distances from each other and from the Sun. Moreover the mathematical idea of a solid body is that of a system of particles , and the discussion of ...
... spherical in form , and that their dimensions are very small in comparison with their distances from each other and from the Sun. Moreover the mathematical idea of a solid body is that of a system of particles , and the discussion of ...
Página 31
... sphere . OAC being a fixed plane , and OC a fixed radius , and PN being perpendicular to OC , take as the angle between the planes OAC and OPC , and 0 as the angle CÕP . N Ꮎ Φ The accelerations in the directions ON , NP and perpendi ...
... sphere . OAC being a fixed plane , and OC a fixed radius , and PN being perpendicular to OC , take as the angle between the planes OAC and OPC , and 0 as the angle CÕP . N Ꮎ Φ The accelerations in the directions ON , NP and perpendi ...
Página 35
... sphere of curvature . The circles may be in certain cases coincident , or either of them may be a great circle . If P ' be a consecutive point on the circle PA ' , de the angle of contingence , that is , the angle between the tangents ...
... sphere of curvature . The circles may be in certain cases coincident , or either of them may be a great circle . If P ' be a consecutive point on the circle PA ' , de the angle of contingence , that is , the angle between the tangents ...
Página 57
... spherical balls , each of mass m and radius a , attract each other with a constant force P , and that they are placed at rest with their centres at a distance 2c . If the zero configuration be when they are in contact , the work P ...
... spherical balls , each of mass m and radius a , attract each other with a constant force P , and that they are placed at rest with their centres at a distance 2c . If the zero configuration be when they are in contact , the work P ...
Página 64
... sphere , the particles of which attract according to the law of nature . If μ be the mass of the sphere and m the mass of the particle , the force on the particle when outside at a distance r is mur - 2 , and the case is therefore ...
... sphere , the particles of which attract according to the law of nature . If μ be the mass of the sphere and m the mass of the particle , the force on the particle when outside at a distance r is mur - 2 , and the case is therefore ...
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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.