(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I linear spring has one end attached to a ceiling, the other end hanging freely. It was noted that the spring was extended by 120mm when a mass of 2.5kg was attached at the bottom.

If the moment of inertia of the mass is 10kg.m^{2}about its vertical axis, calculate the maximum angular velocity of the spring when the system is released from from the 360 degree twisted position. Assume no change in height and the system is conservative.

I am not to sure how to approach this. I think it may have something to so with the following formulas:

2. Relevant equations

K.E=1/2.K.theta^{2}and K.E=1/2.I.w^{2}

where k=torsional stiffness, I=moment of inertia and w=angular velocity

3. The attempt at a solution

Other than those equations, I'm really not sure.

Any help much appriciated with this, thanks in advance.

Mike

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# Homework Help: Moments of Inertia

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