A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 1
... given motions , or given kinds of motion , and those which relate to the action of forces , and the motions and changes of motion produced by forces . The former belong to pure science , and deal with the geometry of motion , a branch ...
... given motions , or given kinds of motion , and those which relate to the action of forces , and the motions and changes of motion produced by forces . The former belong to pure science , and deal with the geometry of motion , a branch ...
Página 2
... given forces , or , conversely , of the forces required to produce given motions . The idea of a particle , or of a material point , capable of being set in motion , or of having its motion affected , by the action of force , is a ...
... given forces , or , conversely , of the forces required to produce given motions . The idea of a particle , or of a material point , capable of being set in motion , or of having its motion affected , by the action of force , is a ...
Página 11
... given for the angular velocity of the direction of motion . If be the inclination to any fixed line in the plane of motion of the normal to the path of the moving point , the angular velocity of the tangent at the point = do do ds = dt ...
... given for the angular velocity of the direction of motion . If be the inclination to any fixed line in the plane of motion of the normal to the path of the moving point , the angular velocity of the tangent at the point = do do ds = dt ...
Página 20
... given at the end of the last article . 20. Component velocities and component accelerations of a moving point referred to two axes turning round the origin in any given manner . P F E x X Let and be the inclinations , at any instant ...
... given at the end of the last article . 20. Component velocities and component accelerations of a moving point referred to two axes turning round the origin in any given manner . P F E x X Let and be the inclinations , at any instant ...
Página 27
... given curve , while the curve turns round a fixed point in its plane : it is required to find expressions for the accelerations of the point . T If OP = r , the accelerations of the point P of the curve are w2r and ro in the direction ...
... given curve , while the curve turns round a fixed point in its plane : it is required to find expressions for the accelerations of the point . T If OP = r , the accelerations of the point P of the curve are w2r and ro in the direction ...
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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.