A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 2
... particles , and the discussion of the motion of a single particle therefore naturally precedes the discussion of the motion of a body or system of particles . It will be seen that Newton's Laws of Motion connect the action of a force on ...
... particles , and the discussion of the motion of a single particle therefore naturally precedes the discussion of the motion of a body or system of particles . It will be seen that Newton's Laws of Motion connect the action of a force on ...
Página 43
... particle be each proportional to the velocity in the direction of the other , the path of the particle is given by an equation of the form ( 1 + 1 ) ( 2 ) = = Ar2 + 2D ( A + 1 ) log r ― D 2 + C. 34. An equilateral triangle , ABC , turns ...
... particle be each proportional to the velocity in the direction of the other , the path of the particle is given by an equation of the form ( 1 + 1 ) ( 2 ) = = Ar2 + 2D ( A + 1 ) log r ― D 2 + C. 34. An equilateral triangle , ABC , turns ...
Página 47
... particle of matter is supposed to be a very small body , but possessing a sensible mass and capable of being acted upon by forces , and , for theoretical purposes , two particles are supposed to differ from each other only in the case ...
... particle of matter is supposed to be a very small body , but possessing a sensible mass and capable of being acted upon by forces , and , for theoretical purposes , two particles are supposed to differ from each other only in the case ...
Página 51
... particle about a fixed axis is the moment of its momentum about the axis ; and therefore , if v be the component , perpendicular to the axis , of the velocity of the particle , p the distance between the axis and the line of this ...
... particle about a fixed axis is the moment of its momentum about the axis ; and therefore , if v be the component , perpendicular to the axis , of the velocity of the particle , p the distance between the axis and the line of this ...
Página 56
... particle into which is concentrated the mass of the body , and the rotation of the body about the centre of gravity is independent of the motion of that point , and depends on the moments , about axes through it , of the acting forces ...
... particle into which is concentrated the mass of the body , and the rotation of the body about the centre of gravity is independent of the motion of that point , and depends on the moments , about axes through it , of the acting forces ...
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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.