The Dynamics of Particles And of Rigid Elastic And Fluid Bodies Microform
The Dynamics of Particles And of Rigid Elastic And Fluid Bodies Microform
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In our eReader you can find the full English version of the book. Read The Dynamics of Particles And of Rigid Elastic And Fluid Bodies Microform Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Dynamics of Particles And of Rigid Elastic And Fluid Bodies Microform
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To quickly assess the difficulty of the text, read a short excerpt:
68) be the instan- taneous axis, and let r be the perpendicular distance from it of any point ^P f and let the angle made by r with the X-axis be #. Now P is moving parallel Fig . 68 . To the XY- plane with the velocity v = r& perpendic- ular to r, so that the projections of this velocity are v x = v sin & = G)r sin # = v vcos& or cos -9- ox.
Thence we obtain the components of momentum M x = 2 may = oZmy = May, 52 ) K/r _ where x, y are the coordinates of the center of mass. The resultant momen...tum is accordingly equal and parallel to the momentum that the body would have if concentrated at the center of mass, but its point of application is different, for the components M x, M y are not applied at the center of mass, inasmuch as their elements are pro- portional, not to m but to my and mx. The magnitude of the resultant momentum being given by M x, M y, M~, we may find its axis by obtaining its three remaining coordinates, representing the angular momentum. We have 53) H y = H z = MVy = MVx = &2m (x 2 -f- y 2 ) = 68] MOMENTS AND PRODUCTS OF INERTIA.
What to read after The Dynamics of Particles And of Rigid Elastic And Fluid Bodies Microform?
You can find similar books in the "Read Also" column, or choose other free books by Webster, Arthur Gordon, 1863-1923 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
68) be the instan- taneous axis, and let r be the perpendicular distance from it of any point ^P f and let the angle made by r with the X-axis be #. Now P is moving parallel Fig . 68 . To the XY- plane with the velocity v = r& perpendic- ular to r, so that the projections of this velocity are v x = v sin & = G)r sin # = v vcos& or cos -9- ox.
Thence we obtain the components of momentum M x = 2 may = oZmy = May, 52 ) K/r _ where x, y are the coordinates of the center of mass. The resultant momen...tum is accordingly equal and parallel to the momentum that the body would have if concentrated at the center of mass, but its point of application is different, for the components M x, M y are not applied at the center of mass, inasmuch as their elements are pro- portional, not to m but to my and mx. The magnitude of the resultant momentum being given by M x, M y, M~, we may find its axis by obtaining its three remaining coordinates, representing the angular momentum. We have 53) H y = H z = MVy = MVx = &2m (x 2 -f- y 2 ) = 68] MOMENTS AND PRODUCTS OF INERTIA.
What to read after The Dynamics of Particles And of Rigid Elastic And Fluid Bodies Microform?
You can find similar books in the "Read Also" column, or choose other free books by Webster, Arthur Gordon, 1863-1923 to read onlineMoreLess
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