A solid sphere ( $$\(\left.I=0.06 \mathrm{~kg} \cdot \mathrm{m}^{2}\right)\)$$ spins freely around an axis through its center at an angular speed of $$\(20 \mathrm{rad} / \mathrm{s}\)$$. It is desired to bring the sphere to rest by applying a friction force of magnitude 2.0 $$\(\mathrm{N}\)$$ to the sphere's outer surface, a distance of $$\(0.30 \mathrm{~m}\)$$ from the sphere's center. How much time will it take the sphere to come to rest?

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