If the coefficient of friction between an insect and bowl is \( \mu \) and the radius of the bow...

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If the coefficient of friction between an insect and bowl is \( \mu \) and the radius of the bowl is \( r \), find the maximum height to which the insect can crawl up in the bowl.
(a) \( r\left(1-\frac{1}{\sqrt{\mu^{2}+1}}\right) \)
(b) \( r\left(1-\frac{1}{\sqrt{\mu+1}}\right) \)
(c) \( r\left(1+\frac{1}{\sqrt{\mu^{2}+1}}\right) \)
(d) \( r\left(1+\frac{1}{\sqrt{\mu-1}}\right) \)
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