HW7soln

HW7soln - \ 1/6 ‘ 9/19/07 HW #7 1 Key ‘TabIe-Group 7.4...

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Unformatted text preview: \ 1/6 ‘ 9/19/07 HW #7 1 Key ‘TabIe-Group 7.4 Determine the centroid of the area. 2’ 7 .18 Determine the y coordinate of the centroid of the area. w _ y _ M 29,7; n Ten-3:330 :(X JC$1_20>)9F¥ I . A. I XML de'x /v:,l><fi::¢::: THE) X: A . :2 {aging ; fl’; :7 5 Z _ A 7- ’f (’Kzf-X‘rugoqx _ 62:3 “#232,4910‘9'5 zclr f4, *3 L «4 :2 7m; ~(r- 834;?) M “wwwwwxf! g 3 T. $6 z m M §x(«>«+><~+w)of’>o ,_ gfl H we 7 __________...-- ,._ ..-— .— /1< fir A Xflf x3 + 38’) g :67; +3" '0 I Mat/J? if; (x1+2<~w>(—~x1+x+io) afx _, W “:- »—- A 7.28 In Example 7.4, suppose that the area is given a second semicircular cutout as shown. Determine the x coordinate of the centroid. 07¢“) / Was-drake“ ’ l ' I 69 ' / ~ x O @ fit} nun—l Hf}- mm ‘3: n - 3135mm :- 4-605: '0 3 n’ ° .1) _, - £9? 2 42:5 , z: . ' z: Anga AL Ego A; a) =56: 3.00571“ 7—"- com"? A g 'OS’C: e .0051?“ —~.OO{ZJ_'!T “:- 0,036Eés“ macaw) -— %rr('OOSF-) '02” (Q A "t: , (0 X61 Oll‘l’m 7.62 The volume of a nose cone is generated by rotating the function y = x i 0.22:2 about the x axis. (a) What is the volume of the nose cone? (b) What is the x coordinate of the centroid of the volume? 7.104 The semicircular part of the homogeneous slender bar lies in the x—z plane. Determine the center of mass of the bar. . 7,134 Determine the center of mass of the homogeneous object. “Iii—3mmb1! _.. 3:065” (.o‘b) 07’4/73? fiaoolsl Vl :(07)(.%){ro:) : 4.2 we" V1: "2i,(o06)Coé)(.ol) 1 ‘70 wo’g’ 4' 3 V '3: ,4’72 in V3 '-= J2: W(,OZ)1(,OI): é.zs/3> 7< 10*" M0"? 7‘67 : (mg) VJ. W—Lgmb = 0.02 524M1XC7 V 2/67 : ('WV3 =— wooS’OM “:76 V \/ ...
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HW7soln - \ 1/6 ‘ 9/19/07 HW #7 1 Key ‘TabIe-Group 7.4...

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