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EAS207-2009-lec32 - Lee 32 Cemtmx‘o‘ej 2 Composi’te...

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Unformatted text preview: Lee # 32. Cemtmx‘o‘ej: 2% Composi’te Vohwm 32—031) 4U / Q7 5 § % E -- 3‘de Jto owxoodn UMC9 «fox coicuiodn'mol CQMYO\‘&E 0/3; compos‘s’ce mew). ——~ .— ’— 29 v 1. i W \ M E E } f E F E 1 5 l 3 E i i I l s § J l I z K i 3 mm m cevxkvoian)» <00chin dé ”WW C<>‘W\P°SM meg VJWWXQ ’50 X}. M $53!} é“ 3‘ >< 2': ' I: “” 4 ~ £19: E 6% ; A h+—b (a) The x coordinates of the centroids of the -| cone and cylinder. W>£“—%~“’“)= m ‘ MW “3 (WWW 4084‘ Rs w ; awe} b=5/ __ EX V; 45366 X 1 EV‘ : 73.587 \ Sir—=37! f 2:576 64> TM Pqus— Gulelhmls momma RduiiMSNPs bewzex/x 3UW+QCQA and \DOQKAWUZA (56— Veeuluih‘m ”E0 m Cewkrox‘ds 0?; We liwz» omdl mews “Hm-35 Gamer 0&2 ”Vt/mm. FT 5’11: ”More W\ €_________,_____._.———-— PSCCOYOlMQa ”to m rgx‘is‘v 'Wszowwx) z "We mam 53w SWl—qce 63’ (b) ‘ievolfi'xm {A} 3—"- ;fi Figure 7.26 U (a) A line L and the y coordinate of its A L centroid. ‘ (b) The surface generated by revolving the 3 \Q} 0? \AFXX 6‘!) line L about the x axis and the path , M 6% ”‘6 K \ followed by the centroid of the line. Q) 1;: CAWCj » N\ \“qul GM (0) An element dL of the line and the element of area dA it generates. M a. .... @flrmgfl 8&thng (g‘iim’t W~CAK§A < fiecovtd WWW W (b) Figure 7.27 (a) An area A and the y coordinate of its centroid. (b) The volume generated by revolving the area A about the x axis and the path followed by the centroid of the area. m “I; if; C€V\%“60\C30j §ifim¥i€€ W {ram ”(WC/”Kw Wpevohiwg M $59 Xx‘vuz M F93“) / Qbovji m X—QXKI) Ca/QWVMQJ) W /“‘“~-\\\\_ h ¥ ‘ CMWABW {-me a} m COW . Figure 7.28 $22.ng R/2 owd LEW y ( T chco‘tét‘wxca (to m {mt MOYCM ythRtW-W f :2 2. IT ’— 7- 3.) ’1?va RCM 3L lfl<L3 ha (‘3') EEEEETEEELKETEEiiiifates the =- TT {Q 3 W " AGWNQA +R . Tow swchda meet a} m CW R “—3 Humvee? + Bloom fl, 1%: ma S'WMR» + HR (b) The area that generates the volume of the C0116. D tsfi‘tbuikd 3000518 cemduw 0 be mm haw , ,3 S\6W\Wtficm‘8 ova "Wu “" L “ " '5 wt AFN“ 1% m be” 0V F -.—. j w O\>< L A (b) (9‘ . Figure 7.11 A _ __.. ( W X j (21) Loading a beam with bags of sand. N F "‘ (b) The distributed load w models the load R L exerted by the bags. Pamlm Hume Dinixkbmkim ova a Roma Swirfcxce -- Center 65' Pyesswe szssme dx‘bhibd‘x‘m com a flaw sunro‘We Pr M “HA9 X5 PKG“ ---- m Six/“PM Tesflfoxw‘t 633— a Pamw‘ 339%“ 65* force!) in Space w’fi‘n one «W 0’} (Aha/(21M {/3 <1 fisx‘vg/(l {OTCE . Ce Ma 68 Pvessowe 13165qu6 :2 P Resswre Gbefi‘xbfis’m 003% ox ykow Sufi/(Sim? —- “0 (5-K >43 ‘PbW‘Q E}: = ”HM”? k =‘JP0‘W‘3 ’3 :2 ~jAP$mE 3 P‘ ‘ Moww" about Irma}: . fig;- JflPch‘a) ...
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