A pendulum is suspended from the cusp of a cycloid cut in a rigid support (see Figure). The path described by the pendulum bob is cycloidal and is giben by x = a(0 – sin ø), y = a(coso– 1) where he length of the pendulum is l=4a, and where o is the angle of rotation of the circle generating the cycloid. Show that the oscillations are exactly isochronous with a frequency w = Vg/1, independent of the amplitude.

A pendulum is suspended from the cusp of a cycloid cut in a rigid support (see Figure). The path described by the pendulum bob is cycloidal and is giben by x = a(0 – sin ø), y = a(coso– 1) where he length of the pendulum is l=4a, and where o is the angle of rotation of the circle generating the cycloid. Show that the oscillations are exactly isochronous with a frequency w = Vg/1, independent of the amplitude.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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