[Solved] Figure 1 Two Degree Freedom Spring Mass Damper System Hw 8 Given Mi 1 Kg M2 2 Kg Ki K2 10 Q37275975

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Figure 1: Two degree-of-freedom spring-mass-damper system for HW #8 Given: mi-1 kg, m2-2 kg, ki-k2-10 N/m k3-5 N/m C2C3 0.5 kg/s Fi(t) F2(t) 20cos(10t) N 1. What are the natural frequencies in this system? 2. What are the damping ratios in this system? 3. What is the particular solution for the applied forces? e.g. as time0o 4. Plot the actual position of masses 1 and 2 starting at rest from equilibrium, compared to the particular solution in problem 3 (same graph). When do the solutions match the particular solution? Show transcribed image text Figure 1: Two degree-of-freedom spring-mass-damper system for HW #8 Given: mi-1 kg, m2-2 kg, ki-k2-10 N/m k3-5 N/m C2C3 0.5 kg/s Fi(t) F2(t) 20cos(10t) N 1. What are the natural frequencies in this system? 2. What are the damping ratios in this system? 3. What is the particular solution for the applied forces? e.g. as time0o 4. Plot the actual position of masses 1 and 2 starting at rest from equilibrium, compared to the particular solution in problem 3 (same graph). When do the solutions match the particular solution?

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Answer to Figure 1: Two degree-of-freedom spring-mass-damper system for HW #8 Given: mi-1 kg, m2-2 kg, ki-k2-10 N/m k3-5 N/m C2C3 … . . .