Beer, Johnston, Eisenberg Vector Mechanics for Engineers – Statics 8 ed Ch9_2007

Vector Mechanics for Engineers: Statics w/CD-ROM

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PROBLEM 9.11 Determine by direct integration the moment of inertia of the shaded area with respect to the.r axis. /- r((,-e b \:b: 4 K: ,r(r-.-9 b > .i- c o t-' la , l, 6 rr,a = f Z,ro ."t--P {" \,L,e-€- **J'n" :rx [ ['t' rb J^ t"- *' LlJ-.f f(*"t 3o e-\ - ZoJ'o j * ;) 3 ( l^ e-t) D .--,1 ( ao. \,5a ., *41 O. tto+ o. t3
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*#*-ff; PR,OBLEM 9.23 Deterrnine tlie polar moment of inertia and the polar radius of gyration of the shaded arrca shown with respect to point P. \r=;! ^'*u = *(rr**) h = l(*,-rJdx f- L5 (^+. .) - * la^ b 3 t;-, :sFK*a-x v& , bo7 =- *- s&f t4:= Y*z+c 0' o-\7<=9 q-b=C, o a\>=e q =LL 4 2V=Kaz+b ,. zv-b t a= c,.t =;? b? EX -V 6 bh3 ]fx =-T %' rvrX q\ x= * , ,1=?.t zV rq= E zt f,t= Ex l* I I lo ba =. ? - q @\ '"tb* .3bc- _ 3tc^ - s '3 \,1- t= dx ^=X a\ 8t3 c^)-F =..s f"Ali *tl)a- Jo\ =i(" S (*'*o3)=- #*')l^ = f f* 63 (*.* 3c^. .xq + 3o.{ \t + =)o ; =*[*x?+#5-'*#f xtJ
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+€ oo a' r3 + bq. .S "..] T! = J*'dA f :^= [* C^.+^.') - +*] +^ J,"@. x{ bx'- [-ust F*=**o'-+ , u J3 bL3 't':. --+ 3 * n) r,. l I ..Y 1( = o\ ? bc v x- b bo- 3. J=fr.*=b: = #rau,r J; ebt X *b3+ fr Jr r\P *T= (szu'*+C
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G"'\'o'J= X., : qr, 1".= q" -X !o. = L't c<,\a\iv e t", to. 't.: {o 'tg tt : - \'\5 3,Jt' j3 |,to" ftz' A '3 - KO ' "rL : j,36i" 57.6;" E, Xc;4, : eft (-r,r iYsa ( q)(3a t )* (q) sT,u)* (.Xr'1,,{) xc -- \.= to *x lr": z14. 3 \'^.ti T *\ - *tr _ir -t.\ L'J. T;, +:E*, -Fr3 : G tl),- g t+€ tt), r * C,#. .:)' * h ('f(.,b)r (a)(q,*)' i",{ 6A (. ,,")' r)+ (s,z\(57:,u) (, ,)(ll) = l,{8}i n 8o $,, +^,=ts 5.nr ;ar--{^an*- a"-d to tt.^J \-t c.&*q.6k4 =b. /, { \ -r. / -\ r,iXru)= + (ao,*Xq)' S (r u)/rz)' *(*"X a')' c-=lKbb,B'',at (t )[+,:a)'* (,,vr+)i T- 4.8 in, PROBLEM 9.47 Determine the polar moment of inertia of the area shown with respect to (a) point O, (b) the centroid of the area.
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This note was uploaded on 01/29/2008 for the course PHYS 295 taught by Professor Maureena.mcgraw during the Fall '07 term at Montana.

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Beer, Johnston, Eisenberg Vector Mechanics for Engineers – Statics 8 ed Ch9_2007

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