242 Potential Energy(b)Let xrepresent the variable distance the chain has slipped since the start.Then length 5−xafremains on the table, with nowFy∑=0:+− −=nxg50λg=−5fnxggxgkk==−µλ045204..Consider energies of the chain-Earth system at the initial moment when the chain starts toslip, and a final moment when x=5, when the last link goes over the brink. Measureheights above the final position of the leading end of the chain. At the moment the final linkslips off, the center of the chain is at yf=4 meters.Originally, 5 meters of chain is at height 8 m and the middle of the dangling segment is atheight 83265−=. m.KU EK Uiiff++= +∆mech:01211222−=+FHGIKJzm gym gyf dxmvmgyikiffbg58365 2 041288440 019 52 000 4004 0032 027 52 000 400240027 52 00 5 000 400 12 54 0022 54 0022 59 80742
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .