A basketball rolls without slipping around a basketball rim in such a way that the contact points

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A basketball rolls without slipping around a basketball rim in such a way that the contact points trace out a great circle on the ball, and the CM moves around in a horizontal circle with frequency ?. The radii of the ball and rim are r and R, respectively, and the ball??s radius to the contact point makes an angle ? with the horizontal (see Fig.). Assume that the ball??s moment of inertia around its center is I = (2/3)mr2. Find ?.image

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