Analytical mechanics for students of physics and engineering . physical pendulum is calledthe equivalent simple pendulum of the latter. If I denotes theLength of the equivalent simple pendulum, then > g y gD .-. i = R2 + D\ (XVI) For a giveo value of D and a given direction of the axis, Kis constant. Therefore if the direction of the axis is notchanged I is a function of I) alone. If we plot the last equa-tion with / as ordinate and D as abscissa we obtain a curvesimilar to that of Fig. 139. It is evident from the curve thatthe value of I is infinitely large for D= 0, but it diminishes 2 Kr
Analytical mechanics for students of physics and engineering . physical pendulum is calledthe equivalent simple pendulum of the latter. If I denotes theLength of the equivalent simple pendulum, then > g y gD .-. i = R2 + D\ (XVI) For a giveo value of D and a given direction of the axis, Kis constant. Therefore if the direction of the axis is notchanged I is a function of I) alone. If we plot the last equa-tion with / as ordinate and D as abscissa we obtain a curvesimilar to that of Fig. 139. It is evident from the curve thatthe value of I is infinitely large for D= 0, but it diminishes 2 Krapidly to the minimum value—— as D reaches the value A. 9 \- />i- increased further/ increases continually. It will be ob- 2 Aserved that for a given value <»f / greater than there are two 9values of D, one of which is less and the other greater than K. PERIODIC MOTION 313 The group of parallel axes about which the rigid bodyoscillates with the same period forms two coaxial circular cyl-inders,. Fig. 140, whose common axis passes through the cen-.
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Keywords: ., bookcentury1900, bookdecade1910, bookpublishernewyo, bookyear1913
