A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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... . 97-135 Radial and Transversal Accelerations Examples . 116-148 · 148-166 CHAPTER VIII . 136-155 Tangential and Normal Accelerations Examples . 167-189 189-205 CHAPTER IX . ARTICLES 156-163 Disturbed Elliptic Motion . PAGE.
... . 97-135 Radial and Transversal Accelerations Examples . 116-148 · 148-166 CHAPTER VIII . 136-155 Tangential and Normal Accelerations Examples . 167-189 189-205 CHAPTER IX . ARTICLES 156-163 Disturbed Elliptic Motion . PAGE.
Página 11
... 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 path . 8. Expressions for accelerations . If x , y are 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 path . 8. Expressions for accelerations . If x , y are the ...
Página 16
... normal accelerations of a point moving in a plane curve . If v be the velocity at P of a point moving in a curve , and if s be the arc OP of the curve measured from some fixed point 0 , v = ds dt The tangential acceleration at P = Lt ...
... normal accelerations of a point moving in a plane curve . If v be the velocity at P of a point moving in a curve , and if s be the arc OP of the curve measured from some fixed point 0 , v = ds dt The tangential acceleration at P = Lt ...
Página 17
... normal acceleration = - Lt ( v + Sv ) sin dø _ vdò̟ _ vdp δε = if p be the radius of curvature at P. = · If the motion of the point be uniform motion in a circle , v and p are constant , and , if w be the angular velocity , v = wp . The ...
... normal acceleration = - Lt ( v + Sv ) sin dø _ vdò̟ _ vdp δε = if p be the radius of curvature at P. = · If the motion of the point be uniform motion in a circle , v and p are constant , and , if w be the angular velocity , v = wp . The ...
Página 18
... normal acceleration inwards = dx y ds - dy ds ( dx dy dy d2x ) = = 82 = - ds ds2 ds ds2 ρ 17. The Principles of Relative velocities and Relative accelerations . If P be a moving point , A , B , C , ... other moving points and O a fixed ...
... normal acceleration inwards = dx y ds - dy ds ( dx dy dy d2x ) = = 82 = - ds ds2 ds ds2 ρ 17. The Principles of Relative velocities and Relative accelerations . If P be a moving point , A , B , C , ... other moving points and O a fixed ...
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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.