A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 7
... moving point , when uniform , is measured by the number of units of length passed over in the unit of time . If the velocity be not uniform , it is measured at any instant by the space which would be passed over in the unit of time if ...
... moving point , when uniform , is measured by the number of units of length passed over in the unit of time . If the velocity be not uniform , it is measured at any instant by the space which would be passed over in the unit of time if ...
Página 8
... moving point be variable , it is said to have positive acceleration , if the velocity be increasing , and negative acceleration , or retardation , if the velocity be decreasing . If the rate of increase of the velocity be uniform the ...
... moving point be variable , it is said to have positive acceleration , if the velocity be increasing , and negative acceleration , or retardation , if the velocity be decreasing . If the rate of increase of the velocity be uniform the ...
Página 9
William Henry Besant. Let EF be the moving line , and , while the point P moves from E to F , let the line move from AB to CD . Then PE is to EA as the velocity of the point along the line is to the velocity of the line , that is , as CD ...
William Henry Besant. Let EF be the moving line , and , while the point P moves from E to F , let the line move from AB to CD . Then PE is to EA as the velocity of the point along the line is to the velocity of the line , that is , as CD ...
Página 10
... 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 this is quite independent of any ...
... 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 this is quite independent of any ...
Página 11
... 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 path . 8. Expressions for accelerations . If x , y are the coordinates , at the time ...
... 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 path . 8. Expressions for accelerations . If x , y are the coordinates , at the time ...
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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.