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In: Physics

If 1 m < ๐‘Ž < 3 m, ๐‘š = 1 kg, ๐‘ = 100 N.s/m and ๐‘˜ = 10000 N/m, determine 3 possible values of ๐‘Ž, ๐‘ and ๐‘‘

 

If 1 m < ๐‘Ž < 3 m, ๐‘š = 1 kg, ๐‘ = 100 N.s/m and ๐‘˜ = 10000 N/m, determine 3 possible values of ๐‘Ž, ๐‘ and ๐‘‘ which give the undamped natural frequency and the damping ratio of the system as ๐œ”๐‘› = 10 rad/s and ๐œ = 0.5 respectively. Note: there are an infinite number of solutions for ๐‘Ž, ๐‘ and ๐‘‘ and the question asks for 3 examples.

b and d have infinite number of solutions

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