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In this video(https://www.kidzsearch.com/kidztube/watch.php?vid=65fbcb9ca), at timestamp 0:27, it says that in mechanical pencils, the fingers have a taper in them that results in them flying out horizontally, unclamping the graphite.
I am confused about why this happens. Could someone please explain? Thanks!

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The plastic fingers are moulded in the open position. During assembly and operation they are compressed.

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I imagine that the fingers are moulded so that with the ring in the position shown they are in pre-tension. i.e., They are not fully open so that they still have some opening force in reserve.

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