A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 53
... momenta about any straight line fixed in space being equal and opposite in direction , it follows that the angular momentum about any given axis , which is defined to be the sum of the moments of momenta of all the particles of the ...
... momenta about any straight line fixed in space being equal and opposite in direction , it follows that the angular momentum about any given axis , which is defined to be the sum of the moments of momenta of all the particles of the ...
Página 54
... momenta of the particles . Therefore the sum of the moments , about any fixed axis , of the extraneous acting forces is equal to the rate of change , that is , to the time - flux , of the angular momentum of the system about that axis ...
... momenta of the particles . Therefore the sum of the moments , about any fixed axis , of the extraneous acting forces is equal to the rate of change , that is , to the time - flux , of the angular momentum of the system about that axis ...
Página 55
... are in all cases equal and opposite . It follows therefore from the preceding articles that the linear and angular momenta imparted to a rigid body by any extraneous forces are independent of the shape , size , ANGULAR MOMENTUM . 55.
... are in all cases equal and opposite . It follows therefore from the preceding articles that the linear and angular momenta imparted to a rigid body by any extraneous forces are independent of the shape , size , ANGULAR MOMENTUM . 55.
Página 56
... momenta . But the system of internal forces , which is made up of sets of equal and opposite forces , has no resultant , and there- fore it follows that The system of time - fluxes of momenta is the exact equiva- lent of the system of ...
... momenta . But the system of internal forces , which is made up of sets of equal and opposite forces , has no resultant , and there- fore it follows that The system of time - fluxes of momenta is the exact equiva- lent of the system of ...
Página 61
... momenta , or effective momenta , and the system of applied impulses . If P , Q , R are the sums of the applied impulses parallel to the axes , and if U , V , W are the sums of the moments of these impulses about the axes , we obtain Em ...
... momenta , or effective momenta , and the system of applied impulses . If P , Q , R are the sums of the applied impulses parallel to the axes , and if U , V , W are the sums of the moments of these impulses about the axes , we obtain Em ...
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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.