The book The Elementary Principles of Mechanics volume 1 was written by author A Jay Augustus Jay Du Bois Here you can read free online of The Elementary Principles of Mechanics volume 1 book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is The Elementary Principles of Mechanics volume 1 a good or bad book?
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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.
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