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2. If we can disregard damping, we can use energy methods to find the vibration frequency when there is one degree of freedom (see page

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2. If we can disregard damping, we can use energy methods to find the vibration frequency when there is one degree of freedom (see page 5 of the notes from lecture 15 for an example, and Prof. Bower's video on the 2022 web page about the vibration isolation project for a more complicated example). For the figure below, use energy methods to find the period of vertical oscillation. Each spring has a stiffness of 61b/in., and the mass of the pulleys may be neglected. To warm-up for the required kinematics, you might want to review the first Top Hat question from the pre-lecture questions for lecture 6, and then look at the explanation for that problem on page 2 of the notes for lecture 6. The new element here is that part of the ropethe springcan stretch. k

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