If 1 m < 𝑎 < 3 m, 𝑚 = 1 kg, 𝑐 = 100 N.s/m and 𝑘 = 10000 N/m, determine 3 possible values of 𝑎, 𝑏 and 𝑑

If 1 m < 𝑎 < 3 m, 𝑚 = 1 kg, 𝑐 = 100 N.s/m and 𝑘 = 10000 N/m, determine 3 possible values of 𝑎, 𝑏 and 𝑑 which give the undamped natural frequency and the damping ratio of the system as 𝜔𝑛 = 10 rad/s and 𝜁 = 0.5 respectively. Note: there are an infinite number of solutions for 𝑎, 𝑏 and 𝑑 and the question asks for 3 examples.

b and d have infinite number of solutions

Expert Solution

genius_generous answered 2 years ago

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