An elementary treatise on theoretical mechanics (1893)
Ziwet, Alexander, 1853-1928 · New York, London, Macmillan and Co. · leaf 24
he required centroid lies on this line ata distance equal to J of its length fromthe vertex. 29. Homogeneous Circular Arc (Fig. 4).Let 0 be the centre, r the radius of thecircle; ACB = s the arc, C its middlepoint. The centroid G must lie on thebisecting radius OC, since this being aline of… … Fig. 4.pendicular to OC. s • x= jxds= r^-ds=rjdscos COP = r^dy. Hence, s ■x = r-c,ii chethe length of the chord AB. If the angle AOB=2aoi the arc AB were given, we might 14 INTRODUCTION TO DYNAMICS. [3°- obtain the result by taking the angle COP=6 as independentvariable. We have then rco5d- rdd =…
Mechanics, Analytic
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