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1. Draw the free-body diagram and use the 2nd law of motion to derive the equation of motion of the mechanism as shown in figure below with respect to x. Find its natural frequency and steady state response with respect to x. In Figure, Mass m vibrates in vertical direction for small vibration only. The single stepped pulley has an inertia Jo about its rotational center with radios 4r and r. A harmonic force applies to the block.Other parameters are given in the figure.

Fig: 1

Fig: 2