A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 10
... inclination , at the time t , of the moving line to any fixed line in the plane , then , exactly as in Articles ( 3 ) and ( 4 ) , the angular velocity is or , and the angular acceleration is d20 dt or 0 . de dt It must be observed that ...
... inclination , at the time t , of the moving line to any fixed line in the plane , then , exactly as in Articles ( 3 ) and ( 4 ) , the angular velocity is or , and the angular acceleration is d20 dt or 0 . de dt It must be observed that ...
Página 11
... inclination to any fixed line in the plane of motion of the normal to the path of the moving point , the angular velocity of the tangent at the point = do do ds = dt ds dt = v ρ where p is the radius of curvature , at the point , of the ...
... inclination to any fixed line in the plane of motion of the normal to the path of the moving point , the angular velocity of the tangent at the point = do do ds = dt ds dt = v ρ where p is the radius of curvature , at the point , of the ...
Página 15
... otherwise obtained in the following manner . Let be the inclination , at the time t , of Ox to a fixed line OX , and let u , v be the component velocities of P , at the Y P У e M N ४ X time t , parallel to Or and Sy . Then MOVING AXES .
... otherwise obtained in the following manner . Let be the inclination , at the time t , of Ox to a fixed line OX , and let u , v be the component velocities of P , at the Y P У e M N ४ X time t , parallel to Or and Sy . Then MOVING AXES .
Página 20
... last article . 20. Component velocities and component accelerations of a moving point referred to two axes turning round the origin in any given manner . P F E x X Let and be the inclinations , at any instant , 20 PHORONOMY .
... last article . 20. Component velocities and component accelerations of a moving point referred to two axes turning round the origin in any given manner . P F E x X Let and be the inclinations , at any instant , 20 PHORONOMY .
Página 21
William Henry Besant. Let and be the inclinations , at any instant , of Ox and Oy to some fixed line OX in the plane , and represent by w the angle xOy or 4 − 0 . - The velocity of P relative to N is compounded of y in the direction NP ...
William Henry Besant. Let and be the inclinations , at any instant , of Ox and Oy to some fixed line OX in the plane , and represent by w the angle xOy or 4 − 0 . - The velocity of P relative to N is compounded of y in the direction NP ...
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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.