A metal hoop with a radius (r=6) in. is released from rest on the (20^{circ}) incline. If

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A metal hoop with a radius \(r=6\) in. is released from rest on the \(20^{\circ}\) incline. If the coefficients of static and kinetic friction are \(\mu_{s}=0.15\) and \(\mu_{k}=0.12\), determine the angular acceleration \(\alpha\) of the hoop and the time \(t\) for the hoop to move a distance of \(10 \mathrm{ft}\) down the incline.

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