A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 11
... 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 t , of a point moving in a plane , referred ...
... 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 t , of a point moving in a plane , referred ...
Página 17
... is the moving point , and if PT , the tangent to its path , is inclined at the angle 0 to Ox , cos e dx = and sin ds = dy ds B. D. 2 The component accelerations parallel to x and y being . TANGENTIAL AND NORMAL ACCELERATIONS . 17.
... is the moving point , and if PT , the tangent to its path , is inclined at the angle 0 to Ox , cos e dx = and sin ds = dy ds B. D. 2 The component accelerations parallel to x and y being . TANGENTIAL AND NORMAL ACCELERATIONS . 17.
Página 26
... tangent PQ to a given curve , and the deflection of the tangent , the acceleration parallel to PQ relative to Q = r — r¿3 , and that of Q in the same direction = s , if the arc OQ = 8 , .. acceleration of P in the direction QP = ï — r ...
... tangent PQ to a given curve , and the deflection of the tangent , the acceleration parallel to PQ relative to Q = r — r¿3 , and that of Q in the same direction = s , if the arc OQ = 8 , .. acceleration of P in the direction QP = ï — r ...
Página 27
... tangent PT and the normal at P , are , if s be the arc AP measured from a given point A of the curve , s and 2ws + ρ in accordance with the observation of Art . ( 10 ) . ds rde ds dr If we take to represent the MOVING POINT ON REVOLVING ...
... tangent PT and the normal at P , are , if s be the arc AP measured from a given point A of the curve , s and 2ws + ρ in accordance with the observation of Art . ( 10 ) . ds rde ds dr If we take to represent the MOVING POINT ON REVOLVING ...
Página 28
... tangent and normal to the curve , that is , in the direction PT and perpendicular to it , are respectively , and dr de s- w2r + wr2 ds ds " 82 do dr + 2ws + w2p2 . + år . P ds ds ' 25. These results can also be obtained by help of the ...
... tangent and normal to the curve , that is , in the direction PT and perpendicular to it , are respectively , and dr de s- w2r + wr2 ds ds " 82 do dr + 2ws + w2p2 . + år . P ds ds ' 25. These results can also be obtained by help of the ...
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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.