Homework 3 1. Problem 3.1 in the textbook. Note that the “natural frequency” ω n is without springs k 1 and k 2 and the “resonance frequency” ω r is with k 1 and k 2 , which are just added to the system for testing. Use FBDs to analyze the system in both configurations to get EOMs and natural/resonance frequencies. 2. Problem 3.4 in the textbook. The EOM for this problem, without the pressure excitation, is derived in Example 2.2 using energy considerations. Derive an EOM that takes p(t) into account by considering the forces that act on the fluid in the direction of the axis of the tube.
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