A massless string of length \(R\) is there. It starts doing a vertical motion.

If the length of the purple line is \(R \cos \theta \), that means the string's length is reduced, but where does it go?

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TopNewestLength of the purpul line will remain R, why should it change to \(R \cos \theta\)?

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I edited the note . We do vertical motion problem by ignoring Rsin(theta) , yeah I know Rsin(theta) is horizontal component and we are doing "vertical" motion . Calculation of h gives a strong feeling that the string becomes short .

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The length of the purple line is still R. The length of the red line above h is \(R \cos \theta \). The total length of the red line and purple line are equal to R.

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