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For the system shown, assume m₁ = 1.5m₂ and ₁ = 1.5₂ where it is assumed that m₂ = m and ₂ = . Find the natural frequencies and the amplitude ratios or this system in terms k, l, and m. ILIE 1913
|I,,=-k(u, -u₂)(1.5€)-(1.5mg-sin)(1.50) I₂₂=-k(u₂ -u₂)(e)-(mg-sin6₂) (1) where sin 8, ≈ 8₁, sin 8₂ 8₂ u₁ = 1.500₁, u₂ = 10₂ I₁ = (1.5m)(1.50)², I₂ = me² 4 mee-ke-mg) + keo₂ = 0 mlö-klo, + (kl-mg)0₂ = 0 2 4 |wme+ke+mg e e₁ -kl co/ml-kl+mg 4ke 4 9 (@²me + ke-21m²) mg 9 |=0 2(w ml-ke+mg) 3kl
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