A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 11
... axes in the plane , x and y are the distances of the point from the axes of y and x . The velocity parallel to x is the rate ... axis of y . If these velocities are u and v , the accelerations parallel to du dv the axes are , by the same ...
... axes in the plane , x and y are the distances of the point from the axes of y and x . The velocity parallel to x is the rate ... axis of y . If these velocities are u and v , the accelerations parallel to du dv the axes are , by the same ...
Página 30
... axes are , by the same reasoning as in Art . ( 4 ) , du dv represented by dt ' dt d2x d'y d2z are dt2 ' dt2 ' dt2 ' dw dt ... axis of the cone . d2 . ON der d2r Acceleration parallel to ON = cos a ...... ( 1 ) , dt2 dt2 acceleration in ...
... axes are , by the same reasoning as in Art . ( 4 ) , du dv represented by dt ' dt d2x d'y d2z are dt2 ' dt2 ' dt2 ' dw dt ... axis of the cone . d2 . ON der d2r Acceleration parallel to ON = cos a ...... ( 1 ) , dt2 dt2 acceleration in ...
Página 36
... axis , to a plane passing through the axis , fixed in space . Parallelogram of angular velocities . Imagine that a rigid system has two coexistent angular velocities w , w ' about two axes OA , OB . Construct a P B parallelogram AOBC ...
... axis , to a plane passing through the axis , fixed in space . Parallelogram of angular velocities . Imagine that a rigid system has two coexistent angular velocities w , w ' about two axes OA , OB . Construct a P B parallelogram AOBC ...
Página 38
... axis through the point . 34. Velocities and accelerations of a point referred to three moving axes at right angles to each other . Let 01 , 02 , 03 represent , at any instant , the angular velocities of the system of axes about the axes ...
... axis through the point . 34. Velocities and accelerations of a point referred to three moving axes at right angles to each other . Let 01 , 02 , 03 represent , at any instant , the angular velocities of the system of axes about the axes ...
Página 43
... axes Ox , Oy revolve with constant angular velocity w , and the component velocities of the point ( xy ) parallel to the axes ... axis ( § ) is § — ( 2έ0 + §¤ ) cosec 0 . What is the other component ? 33. If the radial and transversal ...
... axes Ox , Oy revolve with constant angular velocity w , and the component velocities of the point ( xy ) parallel to the axes ... axis ( § ) is § — ( 2έ0 + §¤ ) cosec 0 . What is the other component ? 33. If the radial and transversal ...
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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.