The $15-$lb rectangular plate has a natural period of vibration $t=0\mathrm{.}6s,$ as it oscillates around the axis of rod $AB.$ Neglect the mass of the rod. Suppose that $a=3ft,b=5ft.($Figure $1)$

Figure $1$ of $1$

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Part'A

Determine the torsional stiffness $k$ of the rod, measured in $lb*f\frac{t}{r}ad$

Express your answer in pound$-$feet per radian to three significant figures.

$k=lb*f\frac{t}{r}a,d$

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