A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 14
... Projection on Ox of the broken line ON'P ' = = ( x + dx ) cos d0 − ( y + dy ) sin d0 , if xOx ' = 80 ; = 3 de ... u = dx dt -y at Similarly v = Lt = Lt Projection on Oy of ON'P ' - PN δε ( x + dx ) sin 80 + ( y + dy ) cos 80 - y = 3 δι ...
... Projection on Ox of the broken line ON'P ' = = ( x + dx ) cos d0 − ( y + dy ) sin d0 , if xOx ' = 80 ; = 3 de ... u = dx dt -y at Similarly v = Lt = Lt Projection on Oy of ON'P ' - PN δε ( x + dx ) sin 80 + ( y + dy ) cos 80 - y = 3 δι ...
Página 41
... a constant distance from it . Find the path of B and shew that its velocity is a mean proportional between the velocity of its projection on the path of A and the velocity of A. 21. A point moves in an ellipse so that the EXAMPLES . 41.
... a constant distance from it . Find the path of B and shew that its velocity is a mean proportional between the velocity of its projection on the path of A and the velocity of A. 21. A point moves in an ellipse so that the EXAMPLES . 41.
Página 64
... is the initial distance of the particle from the centre of the sphere , dt 1 br dr √2μ Nb - r so long as the particle is outside the spherc . Imagine now that the particle is projected away from the 66 RECTILINEAR MOTION .
... is the initial distance of the particle from the centre of the sphere , dt 1 br dr √2μ Nb - r so long as the particle is outside the spherc . Imagine now that the particle is projected away from the 66 RECTILINEAR MOTION .
Página 65
William Henry Besant. Imagine now that the particle is projected away from the origin at the initial distance c ( less than a ) with the velocity √2μ ( c ― 1 — a ̄1 ) . - The equation of motion is the same , and we obtain 1⁄2 x2 = μx ̄1 ...
William Henry Besant. Imagine now that the particle is projected away from the origin at the initial distance c ( less than a ) with the velocity √2μ ( c ― 1 — a ̄1 ) . - The equation of motion is the same , and we obtain 1⁄2 x2 = μx ̄1 ...
Página 70
... projected vertically up- wards in the same medium . In this case , measuring a upwards , dv v2 dx -g - g w2 Integrating and taking u as the initial velocity , v2 + w2 u2 + w2 = € - 2gx w2 shewing that the particle rises to the height ...
... projected vertically up- wards in the same medium . In this case , measuring a upwards , dv v2 dx -g - g w2 Integrating and taking u as the initial velocity , v2 + w2 u2 + w2 = € - 2gx w2 shewing that the particle rises to the height ...
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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.