A sphere of mass (m=150 mathrm{~g}) rotates with constant angular frequency (omega=2.9 mathrm{rad} / mathrm{s}) in a

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A sphere of mass \(m=150 \mathrm{~g}\) rotates with constant angular frequency \(\omega=2.9 \mathrm{rad} / \mathrm{s}\) in a circular path on a horizontal plane, held on the circular trajectory by a spring of rest length \(L=14 \mathrm{~cm}\) and constant \(k=20 \mathrm{~N} / \mathrm{m}\). Determine the radius \(R\) of the circumference.

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