Exam2_sol_F10

Exam2_sol_F10 - MAE 2300 Exam Two, Fall 2010 120 minute...

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Unformatted text preview: MAE 2300 Exam Two, Fall 2010 120 minute time limit Name: Instructions: 1. Please write your name on each sheet in the space provided. 2. This test is closed book, closed notes, with one equation sheet provided to you [on the back of this cover sheet]. 3. For each problem, show all your work and indicate your final answer by writing it (with proper units) in the space provided. 4. Solutions with no free body diagram [to problems which require one] will receive substantially reduced credit. 5. Write out and sign the honor pledge in the space below. 6. Please erase all work that you do not wish to be graded. Multiple solutions presented for the same problem will be eligible for only [# points]/ [# solutions] credit for that problem. Example: submit two solutions for one problem, and you can receive a maximum of 50% of the points for that problem. MAE 2300 Equation Sheet—Exam Two, Fall 2010 A-B:A30086 A X B : (AB sin Qua where ua is perpendicular to the plane containing A and B ixixjszkxkzo ixj:k jxk=i i><k=—j sine: _ sinfi g Sin? A _ B * C’ 02 = a2 + b2 w 2&50057 M=r><F FR = 2F FR 2 fw($)d:c MR=3§FR M’R: fzcw(3:)da: Zon ZM=0 1. [+25 pts) Determine the force components on the bail-and-socket joint A, the reaction at roller B, and the tension in the cord CD required for equilibrium. Appmaul" éuiuxubvmm z? z 6 @225 —- (Ax'i +AJJ+A21> ~390’g’200‘E‘200fi +- By 3:2 4- Tm 11 = ‘6 — — _- .- - :7AX:AJ=oN} h=—1tm an?” F3 =(FI-SZ + 2_590—*) m ®Zfle36 _ Fir-AGE: +33)n., [a x 0.350;); + (mm M 4’ [a x(—200 id] _ +[Fq x (137-200)‘pb7 5 O reactions at A: __ ax=Ay5 O N 'xf—BSoE): “it beSoLv): ~35‘03 1%723a2u g7, 5((12n11): ’3’?" : 3T“ P; x (—1100 2 (“"155 4 2,993“) x (— 200i) “'3005‘ - 57qu Cave/k) Ten: [Pf N NE: 3?2.:F N Name: [solution to Prob. 1, con’t) 4/ "5/3 E fBClgyv-looflj: o: :9 87‘ %+200 253—23451 Ma \3 ~35u + 31‘”) saw Jr 3(g7pgoo)‘— o \d—W 1112.7, ..."‘ _ 3?. '7 [CD ‘ «L— 3' It) ' +4- M A1 ~3So-200 -Loo Jr 31—2”?— -\— (ftp-.10 :7 A%=333‘3M M“ 6kN 2. (+25 pts] Determine the force in members K], KC, and BC of this truss, and state whether each is in tension or compression. How many zero-force members are there in this truss? ____4__+————4.————4 *‘Cv 2,: // I)ch =~ A”: o +7532? = Ayef— (3+st9+6+4+4+2')=° a 5,1 __. 37 01)_— [5(2.) 4 50:) +6 C9) + 1L8)+4Cto)+ZC1?«)]=-° E, “- N42. 72,-; 13.5 (LN Ayn-45.5 hm FLT I {V3 m RF [‘5 MN CC) fly FKc=‘+.5 In.“ Cc J, 3 w Fee2 [5% # zero-force: i Name: [solution to Prob. 2, con’t] 6 _. #:Mcr. 3(z)+ 30n— 55(4)“ Faces 3340—3) ' O :3 F“ 7. Ioflz-cz 1 A7:5’5*Fw+ FLT QM; 32.420 F "-‘- 15-3 "3r—3'-—§+C—«I%),5v;33.’?— Lu, Flt-u: #15 (“LN 3. [+25 pts) Determine the force F exerted on the wooden block by the toggle clamp. Use P = 95 N. G) FBD': .- 41X FVDIM FGD ® ...—— 73%" AxFBXZO 41504—0) - ~ » .— n 145 *5“ "law-— Ava, — {kw—.137 Pro Vim; 3 “AXCSO— “HQ-to Bx =‘ZééN—> PM“ RD © =3 A7: ~133a N :‘ZPX = Bxcx Z 0 + Z: 1-. ,— ' go 44 97 a! F=:I-12.s:\l Pch: 87(9°)+PCIM)- Bx (go)=o (3:7.spj‘ C, : ‘9S’Clbo)+ (—zggX-su) : __ ‘37 20 [LIZSM flew/d Name: [solution to Prob. 3, con’t) W‘WFBDED 492m): agar—Agas) 'FCHv) ‘0 P: w [4—0 ,2 -_-. *259C562—(w133oxes) (4'0 F: 99150 we {2: ‘HLS M W 500 1b 4. (+25 pts] The compound ' E beam is composed oftwo parts. 2 ftb“ “2 ft “‘7' 600 1b The L-shaped beam AD is J pinned to the straight beam CE at point D. The two beams are also connected by the rope BC. Determine the internal forces at points F and G, and also the tension in the rope BC. Pg!) 547,“ch Point F is locatedjust to the right of the 500 Eb force. 7 Point G is located just to the right of the 600 1b force. £900 11:: RX -——-9 boo IL. 7353-} 3“ Ax =0 Ax _ . \lez/ Lay-1530M fi=§zoue Fab @ F t 42; P“ 'b internal forces @F: 4‘597 :. Ayw—V’SOO 3‘ O 2" Dev—#500 '2 2—D internal forces @ G: +9ZHA= vaczkg'oo Cato N4: 6 1kg M; [040 110' PC. Name: (solution to Prob. 4, con’t] FED @6 ?ipx=—NG:O -—-——"’“ 42 M x Mitt, ' By +‘U “=* 0 «:7 (1E: V VG: *5/50 “0 (agg- m (we u. Gide; : [Ex/(9’)” M ""’ foam mm! FP'D) ' a: H60 lb,‘F.L._ ‘o dc+©vwv£we KC J1 T boo Ha " T“ W» l i: ...
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Exam2_sol_F10 - MAE 2300 Exam Two, Fall 2010 120 minute...

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