Around which points to make T=I(alpha)

Thread starter Karol
Start date Jan 20, 2011
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SUMMARY

The discussion centers on the application of the rigid body angular momentum formula T=Iα, particularly in the context of a cylinder rotating on a rough surface with a force acting at its center. Participants confirm that calculating angular acceleration (α) around fixed points (A and C) yields consistent results, while calculations around point B produce different outcomes, validating the necessity of using stationary points for accurate results. The conversation also delves into the derivation of angular momentum and the parallel axis theorem, emphasizing the importance of understanding these concepts for accurate calculations.

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Knowledge of the parallel axis theorem
Basic principles of rotational motion and friction

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Feb 9, 2011

Karol

I want to find (alpha), but I don't succeed:

\left(F\frac{R}{2}+f \frac{R}{2}\right)\hat{z}=KmR^2\vec{\alpha}+\left(\frac{R}{2}\cdot\frac{RF}{m(K+1)}\right)\hat{z}

\frac{FR(2K+1)}{2(K+1)}=KmR^2\cdot \alpha+\frac{FR^2}{2m(K+1)}

Which doesn't give the previous (alpha).