Substituting the values given in the problem statement (with 227.58 maLh=−=), the fraction of ladder climbed is ()(/3)(9.3 m)(0.53)(72 kg 45 kg) (7.58 m /3)(45 kg)(72 kg)(7.58 m)0.84885%.shMmamxaMaμ+−===≈40. Let xbe the horizontal distance between the firefighter and the origin O(see figure) that makes the ladder on the verge of sliding. The forces on the firefighter + ladder system consist of the horizontal force wFfrom the wall, the vertical component pyFand the horizontal component pxFof the force pFGon the ladder from the pavement, and the downward gravitational forcesMgand mg, where Mand mare the masses of the firefighter and the ladder, respectively. Since the system is in
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.