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Question: The micro bridge of Figure operates as a sensor for the sinusoidal input rotary displacement of its base. To be effective for this purpose, the natural frequency needs to be least 100 times smaller than the input frequency. It is also expected that the actual input frequency be larger than 2000 rad/s. Find the flexible rods' diameter d for J = 3 # 10^-19 kg-m₂ , l = 500 nm, and G = 100 Gpa. Calculate the damping coefficient c corresponding to the viscous interaction between the micro bridge plate and its environment knowing that the maximum value of this system's magnitude is 1.001.

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