3. There is a mass-spring system for which two masses are connected with a spring #2 and the upper mass is hanged on the

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3 There Is A Mass Spring System For Which Two Masses Are Connected With A Spring 2 And The Upper Mass Is Hanged On The 1 (62.88 KiB) Viewed 38 times

3. There is a mass-spring system for which two masses are connected with a spring #2 and the upper mass is hanged on the ceiling by a spring #1 (Figure below). Properties of masses and springs are shown below: mı = 1 kg, m2 = 1 kg • ki = 3 N/m, k2 = 2 N/m NNm Masses of springs are negligible Find eigen value & vector and general solution, displacement of two masses as a function of time t (i.e., yı(t), y(t)) of mass-spring system using Hooke's law. (Hint : Set it to y = xewt,w2 = 1) =λ) ka wwy (y, = 0) mi y Vi MM k2 (Net change in spring length = y2-y) (y2 = 0) m2 V 2 I2 System in static equilibrium System in motion