# HW_12 - PROBLEM 5.8 Locate ﬂu centroid oftho plan area...

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Unformatted text preview: PROBLEM 5.8 Locate ﬂu: centroid oftho plan: area shown. SOLUTION First note that symmetry implies "in, ‘- 1.6977 _‘ 42.67 - .- PROBLEM 5.153 Locate 11w centroid of this plane am shown. SOLUTION BEE“ ﬂ_--m_ in = 23A J?[226.71 m3] =.1350 i113 sz = \$1 17(22531 i112) = 3267 in3 or f = 14.41 in. 4 PROBLEM 5.26 3; . ,_ The homogeneous wireABCD is bent as shown and" 16 supported by a pin _atB. Knowingﬂ1ati=81n., determineﬂieanglea forwhinhportioni BCofﬁewireishmizmtal. ' Firstrﬁteﬁatforeqnﬁlibuimthemofgmvﬂyofihewiremmtﬁe' } onavertieallinethrough.B.F1n'ther.becauseﬂ1ewireishomogoneom,‘ ' its center Iofgravity will coincide with the centroid ofthe corresponding line. Thus 2M3 =0,__Iwhichim1i1iesfhatf=0 arm =0 ...
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