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Pulley system on a double inclined plane

, 01:12, 17 September 2010
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{{mechanics scenario}}

[[File:Pulleysystemondoubleinclinedplane.png|thumb|400px|right]]
This article is about the following scenario. A fixed triangular wedge has two inclines $I_1$ and $I_2$ making angles $\alpha_1$ and $\alpha_2$ with the horizontal. A pulley is affixed to the top vertex of the triangle. A string through the pulley has attached at its two ends blocks of masses $m_1$ and $m_2$, resting on the two inclines $I_1$ and $I_2$ respectively. The string is inextensible. The coefficients of static and kinetic friction between $m_1$ and $I_1$ are $\mu_{s1}$ and $\mu_{k1}$ respectively. The coefficients of static and kinetic friction between $m_2$ and $I_2$ are $\mu_{s2}$ and $\mu_{k2}$ respectively. Assume that $\mu_{k1} \le \mu_{s1}$ and $\mu_{k2} \le \mu_{s2}$.