Determine the differential equation of motion for the double pendulum shown in terms of12anduu where 12u and u are the horizontal distances of the masses from the leftmost verticalline that makes angle 1 from it. Find the natural frequencies, the ratios of the amplitudes, and thelocation of the nodes for the two modes of vibration. Assume m1=m2=m, and l1 =l2 = l= u, and u, where u, and u, are the horizontal distances of the masses from the leftmost verticalline that makes angle 6, from it. Find the natural frequencies, the ratios of the amplitudes, and thelocation of the nodes for the two modes of vibration. Assume m,=m,=m, and l = l, = l ,Determine the differential equation of motion for the double pendulum shown in terms of02m2

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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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Determine the differential equation of motion for the double pendulum shown in terms of
12anduu where 12u and u are the horizontal distances of the masses from the leftmost vertical
line that makes angle 1 from it. Find the natural frequencies, the ratios of the amplitudes, and the
location of the nodes for the two modes of vibration. Assume m1=m2=m, and l1 =l2 = l=

u, and u, where u, and u, are the horizontal distances of the masses from the leftmost vertical
line that makes angle 6, from it. Find the natural frequencies, the ratios of the amplitudes, and the
location of the nodes for the two modes of vibration. Assume m,=m,=m, and l = l, = l ,
Determine the differential equation of motion for the double pendulum shown in terms of
02
m2

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