Question

Find the Transfer-Function from f ->r. Small angle is assumed so that the motion of the mass stays vertical and the spring stays horizontal. This problem challenges you to derive the transducer (pulley) equations, yourself using free-body diagrams, so that you can relate the spring to the mass. Note that for this problem, the pulley is massless/inertialess so therefore the sum of the moments equals zero rather than IÖ. Ignore gravity since we can just lump it into f(t)

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