A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 7
... ds the space passed over in the time t + St , so that ds is the space passed over in the time St , and , if St be so small that the velocity is not sensibly Es changed in the time St , the limiting value of the expression ds dt ' that ...
... ds the space passed over in the time t + St , so that ds is the space passed over in the time St , and , if St be so small that the velocity is not sensibly Es changed in the time St , the limiting value of the expression ds dt ' that ...
Página 8
William Henry Besant. ds time St , and therefore that , at the time t , is the actual dt velocity . 4. If the velocity of a moving point be variable , it is said to have positive acceleration , if the velocity be increasing , and ...
William Henry Besant. ds time St , and therefore that , at the time t , is the actual dt velocity . 4. If the velocity of a moving point be variable , it is said to have positive acceleration , if the velocity be increasing , and ...
Página 11
... 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 to a pair of fixed ...
... 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 to a pair of fixed ...
Página 16
... 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 ( v + 16 PHORONOMY .
... 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 ( v + 16 PHORONOMY .
Página 17
... ds dt ds dt ρ and 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 ...
... ds dt ds dt ρ and 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 ...
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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.