Elements of graphic dynamics; an elementary textbook for students of mechanics and engineering (1919)
Andrews, Ewart S. (Ewart Sigmund) · London, Chapman and Hall, Ltd. · leaf 79
ves forthe relative effect of the two simple harmonic motions. Proof.—Let 0 D cut the circles 3 in F. Join E F and A D, and draw A G parallel to 0 D, and B G paraUel to A D. Consider the As BAG and EOF. The angle EFO is a right angle, being the angle in a semicircle ; the angle ADO is a right angle… … Fig. 35.—Polar Diagram for Two Simple Harmonic Motions. The two A s, therefore, have their sides mutually paralleland are thus similar. Also OE = OE = AB (because 0 EB A is a parallelo-gram). Therefore the two As are equal to each otherin aU respects, so that OE = AG = CD. POLAR DIAGRAMS 69 We see,…
Mechanics, Applied · Dynamics · Graphic methods
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