h2L2G2G1L1wwwx2wwwm2, k202m1, k1Fig QaFig QbTwo compound pendulums of lengths L1 and L2 are pivoted at a support andconnected together through a horizontal spring of stiffness k as in Fig Qa. Themasses and radii of gyration of the pendulums about the centres of mass (G1 andG2) are m1 & m2 and k1 & k2 respectively. The centres of mass are at distanceshl and h2 respectively whilst the spring is distance 1 from the pivots as shown.The pendulums are set into motion by small displacements xl and x2 opening upsmall angles 01 and 02 respectively as in Fig Qb.4.1 Find the equations of motion of the two pendulums.4.2 Also determine the natural frequencies of the vibration of the pendulums if mı = 10 kg,m2 = 8 kg, kı = 0.433 m, k2. = 0.3464 m, L1 = 1.2 m, L2. = 1.0 m, hi = 0.6 m, h2. = 0.5 m,1= 0.8 m, and k = 2000 N/m.

Answered: h2 L2 G2 G1 viw L1 www m2, k2 m,, k1…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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