182 Circular Motion and Other Applications of Newton’s LawsP6.60For the block to remain stationary, Fy∑=0 and Fmaxr∑=.nmmgpb1=+ejso fnmmgsspb≤=+µµ111.At the point of slipping, the required centripetal force equals themaximum friction force:∴+=+mmvrgsmax21µor vrgsmax....===10 750 0 120 9 800 939afafms.For the penny to remain stationary on the block:Fnmgyp∑=⇒ −=002or gp2=and a fmvrpp∑=⇒=2.When the penny is about to slip on the block, ffnpps, max22or sppmg mvr22=maxgsmax.=20 520 0 120 9 800 782afmsm gbm gpm gbm gpn1fpfm gpn2fpFIG. P6.60This is less than the maximum speed for the block, so the penny slips before the block starts to slip.The maximum rotation frequency isMax rpm LNMOQPFHGIKJ=vrmax...207821201206062 2ππrevms1 minrev minbg.P6.61vrT=2290015 0377π...msaf(a)avrr2158. ms2(b)garlowN=455(c)garhighN=−=328(d)garmidN upward and
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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 .