A mass hangs from a massless string and swings around in a horizontal circle, as shown in

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A mass hangs from a massless string and swings around in a horizontal circle, as shown in Fig. The length of the string is very slowly increased (or decreased). Let ?, ?, r, and h be defined as shown.

(a) Assuming ? is very small, how does r depend on ??

(b) Assuming ? is very close to ?/2, how does h depend on ??

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