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0501_EM201_T4_sol

0501_EM201_T4_sol - EM 201 Test#4 Student Number KGQ 7...

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Unformatted text preview: EM 201 Test #4 April 20, 2005 Student Number: KGQ 7 Problem #1. (25 pts) A rectangular plate is 3 m high and 5 m wide (normal to the plane of the figure) and blocks the end of a tank. The 3 X 5—rn side of the open tank is hinged at its bottom, A, and is held in place by. a thin rod, BC. The tank is to be filled with some dense liquid, having a specific weight _ m ,7* of (@100 W! :).-- g, b 5:? If the tank is filled“ to a depth of d= 2. 8 m, 3.) determine the force T In the rod, and 9.350%?» W hat; hid QW):QZ b) the reactions at the hinge. __ ‘ _ .. l L} UN‘C: r‘n P9331? j}! iForceB T = (905318 Vigil/‘2] Reactions at A : ): mo _i<_N m @w v i z a W a , t 99y ‘" i 1' [43:6 16“ i 2.8 g r :0 f, g @i Axum» 21”,: L, i #9 pic‘s CW“ do momexWi‘S . . 80 mi eager) a :fflM-S ”1;. “omniwfl 4’ '1 £ E h \‘w wk“) ii, —- £42 8w)(iHOKN)- Whack“ [email protected] . mi03m5;b _w.——r' \ newsmawzga/ “:Ecgmckw bOClEtWCED o. - W t Laws/irks“); Ag=®4 tasSuwve, door/ Plain, .:.= (if wigsgznx—ugwj A1_E-—T_(t~—Wp bQ‘48)tJ—ns Ax:]33.0EZ kM®1 Easiédlydb) x: 8(|+‘k{%] x=a+fii _.o.(r+1f{)=x EM 201 Test #4 April 20, 2005 Student Number: |A€;a Problem # 2. (25 pts) F rom Groupwork! dimensions: mm Given the equation for the shaded area shown, note that k = E = 32 the dimensions a and b are given and the coefficient, k, is 64 a y y=k(x — a)2 given in terms of a and b. Dimensions: mm r : (b 'Lé] 9‘5”, (a) Write the integral expression you would use to this the T? magnitude of the area that is shaded. Write your answer as b _:g """"""""""""" an explicit function of 1;, including limits. _ ' Chg You do not need to carry out the integration. L: 5 '2 )3. ' EL‘S'EU’BJZJ 6'“ ® (5) ‘3»? * ayfigmowj " out 0 um (53 cm: Eb-k(¥-CA)1]C§M gig/6;“ @352 5— ROI-M: 80mm negro: (b) Knowing the area A, write the integral expression you would use to find the centroid E of the shaded 3‘ ii We“ fi— Sfls—ne—afl so : x l [533$ 0 3' O W W" mg q g a“ t" ”‘3?” a L on '\ %ifi§thS—5W—8)10‘Y ((2) Knowing the area A. write the integral expression you would use to find the centroid I7 of the shaded area. Write it as an explicitfnnction of 9:, including limits, but you do not need to carry out the integration. .. 0- m a. Wiggins/3L Mugsywycn : $S[51-§)dx< C) C) .W 3’ 3, _L “b irate-a9] - Us“ fish—RU 5* Q [3.23” EM 201 Test #4 April 20, 2005 Student Number: t £923! Problem # 3. (25 pomts) The compound beam 13 [rm-connected at C, w1th seenons supported by plns at B and a pm at G. Using the reactions provided, draw the shear and moment diagrams for the beam and loading. Be sure to label the shear and moment m at all critical points (where loading changes). H 5 points *) Extra credit will be awarded to those who calculate the exact value and location ofthe maximum MomemJ Okip—fi A? A: (zéfilukso) 9 8w: =" F41. . :q - M I A3: Z(a;¢)(¢lzl_t_zf) .—. \Z lace fl ”nu—fl . —' 13M? _...---' K” .,, g —----- "nee s» ' :,=H\W:(Z 2"” 8W kw/{Fh— @ "1L- "Wm“ ...IG’.£W§ all— 743'; {€ng Sgg—rgv‘wnng/NAS “Hug - 11m yrmh 8 ~41“! m %;13— 74 =&m7# EM 201 Test #4 April 20, 2005 Student Number: "- Problem #4 [25 ptsL A bucket and block B are connected by a cable that passes over a drum. Knowing that drum A is locked and does not turn, determine the smallest combined weight W (of the bucket and its contents) for which block B will (a) remain at rest (b) be about to move up the incline, and (c) continue to move up the incline at a constant speed. Th ffi fh f 5::{W‘m—t0ksl: “DJ-I; 3:300 e coe cient o t e contact sur aces is _\ _ f B = 400 pounds ,Lts = 0.29 for static friction K150 ‘9’" (PM) ‘ 12' 03"? ,u = 0.23 for kinetic friction. d" a ' v k 9 g L W D a c c -_ eez‘f’fi (The cable is of negligible mass). “M” N’- 30 w 411:80 -L,é Lg) "(QC “(3!)": 90 + q :lOlold L “E 3?: {352‘34 SM? sirlbr 'T \E: 'chve ? em sob . 17° L9 as: e—XQ‘S : 3O thLoA‘lG-“ilcjflo ”a. "at: t80-(9/4(2j)-(Cl0‘)é) [L gifts -9 bl: qo..—§25 .— 73—3—30 1’: WM 1b(5;_\1§~ ': Ltdb x n C' SW95 “T: BOQMS’B m MW 6 -. ._ 30+ vase" = ”(2-95 _. :Qfifimfi Icy-”3+? '. Ola EST gem—6' .gé: I7: I I I » \3c3---(Ct~3'@0 49““ ‘23) ‘C‘O‘5ék W K a”: 77.05“ ##— T; ”00 ”[5“ z 27am us EM 201 Test #4 April 20, 2005 Student Number: Problem # Bonus*: (5 points - toward test score, E you qualify) Mfl Credit will only be given if you complete the entire test and if the problem is 100% correct. Bonus points will only be given if this problem is 100% correct. Le. Taking pot shots at it won’t get you bonus points. The extra points (if any) will be added to your test score. ' If the coefficient of static friction is 0.20 and kinetic friction is 0.15 between the steel wedge and the moist fibers of the newly cut stump. Determine the maximum angle a which the wedge must have, and not pop out of the wood after being driven by the sledge. a maxim»: ...
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