An object is released from rest from the inner edge of a hemispherical bowl, and it falls under ...

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An object is released from rest from the inner edge of a hemispherical bowl, and it falls under gravity. The coefficient of kinetic friction between the object and the bowl is \( \mu \). If the object covers an angular displacement \( \theta \) with respect to the center of the hemisphere when it stops for the first time, which of the following expressions is correct?
A. \( \mu=\cot (\theta / 2) \)
B. \( \mu=\cot (\theta) \)
C. \( \mu=\tan (\theta) 18 / 30 \)
D. \( \mu=\tan (\theta / 2) \)
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