2. The frequency of oscillation of a person on a diving board can be modeled as the transverse vibration of a beam as shown below. Let $m$ be the mass of the diver ($m = 100$ kg) and $l = 1.5$ m. If the diver wishes to oscillate at 3 Hz ($1$ Hz = $2pi$ rad/sec), what value of flexural rigidity, $EI$, should the diving board material have? $l$ $m$ $-x(0)$ $k = frac{3EI}{l^3}$ $x(t)$ $E = $ elastic modulus $l = $ length of beam $I = $ moment of inertia of cross-sectional area about the neutral axis
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