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

A solid, uniform disk of mass M and radius a may be rotated about any axis parallel to the disk axis, at variable distances from the center of the disk.

If you use this disk as a pendulum bob, what is T(d), the period of the pendulum, if the axis is a distance d from the center of mass of the disk?

I got the answer to be:

T(d) =2{\pi}\sqrt{\frac{0.5a^{2}+d^{2}}{gd}}

The period of the pendulum has an extremum (a local maximum or a local minimum) for some value of d between zero and infinity. Is it a local maximum or a local minimum?

2. Relevant equations

3. The attempt at a solution

I graphed the function and saw that as d increases, the period T also increases to a maximum. However, I am not clear about the physical reason as to why this is so. Please advise.

Thank-you!

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# Homework Help: Period of Oscillations

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