FYKOS Year 34 Series 6 Problem 5 — heavy spring · FYKOS 34 #34.6.5

Physics · mechanics · electromagnetism

Problem

Let us have a homogeneous spring with stiffness

k

, mass

m

and its width negligible compared to its length. We grip the spring at one end in a way that it can rotate around and then we spin it with angular velocity

\omega

. By how much does the spring prolong (compared to its initial length) due to the rotation? Neglect the effect of the gravitational field.

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