Thread roll · Estonian PhO 2013 #8

Physics · mechanics

Problem

\begin{wrapfigure}[6]{r}{3cm} \vspace{-15pt} [image — see PDF] \end{wrapfigure} A cylinder of mass mm has a thin thread winded over it and it is placed on an inclined surface with an inclination angle of α\alpha. What is the required minimal force F\idxminF\idx{min} to hold the thread so that the cylinder would stay still (see figure)? The coefficient of friction between the surface and the cylinder is so big that there is no sliding.

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