A pulley (250 mathrm{~mm}) in diameter drives a second pulley (1000 mathrm{~mm}) in diameter by means of
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A pulley \(250 \mathrm{~mm}\) in diameter drives a second pulley \(1000 \mathrm{~mm}\) in diameter by means of a belt. The moment of inertia of the driven pulley is \(0.2 \mathrm{~kg}-\mathrm{m}^{2}\). The belt connecting these pulleys is represented by two springs, each of stiffness \(k\). For what value of \(k\) will the natural frequency be \(6 \mathrm{~Hz}\) ?
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