138 The Laws of MotionP5.44Let arepresent the positive magnitude of the acceleration −a±jofm1, of the acceleration −a±iof m2, and of the acceleration +a±jof m3.Call T12the tension in the left rope and T23the tension in the cordon the right.For m1, Fmayy∑=+−=−Tmgma1211For m2, axx∑=−++=−TnTmak12232μanda∑=nmg−=20for m3,a∑=a2333−we have three simultaneous equations−+=+−−==TaTTa1212232339 24 00035098010019 62 00......N kgkgkgbgafbg(a)Add them up:nT12T23m g2f = nkµm g1T12m g3T23FIG. P5.44+−−=39 23 4319 67 00..Nkgafaammm=231123.,m s , down for , left for and up for 2.(b)Now −+=T1239 24 002 31kgms2chT1230 0
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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 .