A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 8
... straight line while the line is carried parallel to itself at a uniform rate . The point will then have two coexistent velocities . Let EF be the moving line , and , while 8 PHORONOMY .
... straight line while the line is carried parallel to itself at a uniform rate . The point will then have two coexistent velocities . Let EF be the moving line , and , while 8 PHORONOMY .
Página 9
... line is to the velocity of the line , that is , as CD to AC ; Therefore APD is a straight line , and the point P moves uniformly from A to D. E B F AD therefore represents the resultant velocity in magni- tude and direction . This ...
... line is to the velocity of the line , that is , as CD to AC ; Therefore APD is a straight line , and the point P moves uniformly from A to D. E B F AD therefore represents the resultant velocity in magni- tude and direction . This ...
Página 10
... straight line turn round in a plane it is said to have angular velocity , and if this angular velocity be variable it is said to have angular acceleration . If be the inclination , at the time t , of the moving line to any fixed line in ...
... straight line turn round in a plane it is said to have angular velocity , and if this angular velocity be variable it is said to have angular acceleration . If be the inclination , at the time t , of the moving line to any fixed line in ...
Página 23
... line AOA ' . Since OC , CB make equal angles with OA it follows that the angular velocities of the lines OC , CP are equal . ω Hence , if o be this angular velocity , the acceleration of C is in the ... straight line ILLUSTRATIONS . 23.
... line AOA ' . Since OC , CB make equal angles with OA it follows that the angular velocities of the lines OC , CP are equal . ω Hence , if o be this angular velocity , the acceleration of C is in the ... straight line ILLUSTRATIONS . 23.
Página 24
William Henry Besant. ( 3 ) A circle rolls on a straight line ; it is required to find the acceleration of the point of the circle in contact with the line . If be the angle through which the circle has rolled from any assigned position ...
William Henry Besant. ( 3 ) A circle rolls on a straight line ; it is required to find the acceleration of the point of the circle in contact with the line . If be the angle through which the circle has rolled from any assigned position ...
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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.