The Elementary Principles of Mechanics volume 1
The Elementary Principles of Mechanics volume 1
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In our eReader you can find the full English version of the book. Read The Elementary Principles of Mechanics volume 1 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 Elementary Principles of Mechanics volume 1
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. (4) " Y " " " ZX, M y = v x z - v*x. ) In these equations v x, v, , v z and a*, y, z are positive in the direc- tions OX, OY, OZ, and negative in the opposite directions. With these conventions the equations are general; and if M z M x, My come out positive, we have rotation in each plane counter-clock- wise as indicated by the figure ; if negative, clockwise.
In the first case the line representatives pass through O and have the directions OZ, OX, OY. In the second case they have opposite di...rections through O. In any case the direction of rota- 66 KINEMATICS GENERAL PRINCIPLES. [CHAP. VL.
tion is always counter-clockwise when we look along the line repre- sentative towards O.
The equations of the projections of the line of direction of the resultant velocity v, - upon the co-ordinate planes are found as in the preceding Article, since each may be considered as acting at any point in its line of direction : -V-17- V V M Z on plane XY, y = * x Vx V x YZ, z = Vy ZX, x =z-, Vz V Z (5) If in these equations we make z = 0, we find the co-ordinates of the point in which the direction of the resultant velocity v r pierces the plane XY, viz.
What to read after The Elementary Principles of Mechanics volume 1?
You can find similar books in the "Read Also" column, or choose other free books by A Jay Augustus Jay Du Bois to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
. (4) " Y " " " ZX, M y = v x z - v*x. ) In these equations v x, v, , v z and a*, y, z are positive in the direc- tions OX, OY, OZ, and negative in the opposite directions. With these conventions the equations are general; and if M z M x, My come out positive, we have rotation in each plane counter-clock- wise as indicated by the figure ; if negative, clockwise.
In the first case the line representatives pass through O and have the directions OZ, OX, OY. In the second case they have opposite di...rections through O. In any case the direction of rota- 66 KINEMATICS GENERAL PRINCIPLES. [CHAP. VL.
tion is always counter-clockwise when we look along the line repre- sentative towards O.
The equations of the projections of the line of direction of the resultant velocity v, - upon the co-ordinate planes are found as in the preceding Article, since each may be considered as acting at any point in its line of direction : -V-17- V V M Z on plane XY, y = * x Vx V x YZ, z = Vy ZX, x =z-, Vz V Z (5) If in these equations we make z = 0, we find the co-ordinates of the point in which the direction of the resultant velocity v r pierces the plane XY, viz.
What to read after The Elementary Principles of Mechanics volume 1?
You can find similar books in the "Read Also" column, or choose other free books by A Jay Augustus Jay Du Bois to read onlineMoreLess
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