A uniform ball of radius \( r \) rolls without slipping down from the top of a sphere of radius ...

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A uniform ball of radius \( r \) rolls without slipping down from the top of a sphere of radius \( R \). The angular velocity of the
\( \mathrm{P} \) ball when it breaks from the sphere is

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(1) \( \sqrt{\frac{5 g(R+r)}{17 r^{2}}} \)
(2) \( \sqrt{\frac{10 g(R+r)}{17 r^{2}}} \)
(3) \( \sqrt{\frac{5 g(R-r)}{10 r^{2}}} \)
(4) \( \sqrt{\frac{10 g(R+r)}{7 r^{2}}} \)
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