Question

A mass hangs from a massless string and swings around in a horizontal circle. The length of the string is very slowly increased (or decreased). Let θ, ℓ, r, and h be defined as shown.
(a) Assuming θ is very small, how does r depend on ℓ?
(b) Assuming θ is very close to π/2, how does h depend on ℓ?

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Answer 1

\[ r= l \sin\theta\]