2.0 kg 1. Two cylinders, one with mass m₁ = 1.5 kg and radius r₁ = 0.2 m and one with mass m2 = and radius 12 = 0.12 m,

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2 0 Kg 1 Two Cylinders One With Mass M 1 5 Kg And Radius R 0 2 M And One With Mass M2 And Radius 12 0 12 M 1 (312.31 KiB) Viewed 29 times

2.0 kg 1. Two cylinders, one with mass m₁ = 1.5 kg and radius r₁ = 0.2 m and one with mass m2 = and radius 12 = 0.12 m, are connected at their centers by a spring of stiffness k2 = 500 N/m as shown below. The center of mass m₁ is also connected to a rigid wall by a spring of stiffness ki 700 N/m. The cylinders roll without slipping. = (a) Derive the equations of motion assuming small angular displacements. (b) Find the natural frequencies and modes. (c) Scale the modes so that [D]¹[M][0] = . (d) Re-write the equations of motion using modal coordinates. m₁ k₂ m2 k₁ www ☺☺ www //////////////////T