20090306153537 - MATSE290 Spring semester 1998 Quiz No.1...

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Unformatted text preview: MATSE290 Spring semester 1998. Quiz No.1 Name .................................... Q.1 An ideal pulley is pinned at end A of the bent bar ABC and the cable is wrapped around the pulley as shown. A tensile force of 200 lb is applied to the free end of the cable. (a) Draw the free—body diagram (FBD) for the pulley at A and by showing all forces on them and writing down the equilibrium equations, show that the tensile force in the cable is constant around the pulley. (5 pts) (b) By drawing the free body diagram (FBD) for the entire system or for the bent bar write down the equilibrium equations for your diagram. (10 pts) (c) Find the reactions exerted at the pin at B onto the bar and at the roller at C. (10 pts) (d) Is the roller bearing against the upper or lower surface? (5 pts) ‘3’11 Alba EQwMBRmm 2 FX ~\ ? "Ti h ,J-I ll .1 1.322230%“) accowrxasjlh RM *T‘T‘Sm ‘15": O b 3.? u — Toco‘fS 2 ~ R4, = T(I+Sm‘1’5) Q00 CM‘LIQSY “ “Ht-J11 ‘ 9,000+— sm 1+5)“; \ ‘3‘1‘|~‘~Hbo O = 900 cw‘rs+—R,BX MATSE290 Spring semester 1998. Quiz No.2 Name .......... E. .................... Q.2 A horizontal boom is held in place at an angle of 600 with respect to the vertical wall by the ball and socket joint at A and by two cables DB and EC as shown. (a) Write the tensions in each cable in cartesian coordinates for a suitable choice of axes with A as origin. (10 pts) (b) Draw the free-bodydiagram (FBD) for the boom ABC showing all forces and moments (if any) present on the boom and write down the equilibrium equations. (10 pts) (c) Determine the reaction exerted at the ball and socket joint at A and the tension in each cable resulting from the SOkN loads. (15 pts) (d) If the cables were removed and ABC was rigidly fixed at A in the same position , calculate how would the reactions at A would )k change? (10 pts) (a) Wk 04cm (:50va (Led/memo T,’E.Mw!~ ._ TED = G's.) 0) l0)“ L£SIHBCJ SCOOSC/O) : (0,-SMSC1/l0)m fee : p.157) o} ‘0)“ (mamas) «‘0 Cassie, c)=fi-7-51~i0cco'sol lo)m A . __ ll (_S%}+[OE) ilk} ‘ ”8’75 \llt8-‘15 ‘ A. T; k—Ts’Q-iofi"; +to'tg,\)k \Egy; 2‘ Tao =(Q'SE +le) 1‘98 = S‘s-mac 3 -+— 5000303 1‘ =(—.§2~5§ +4063) TAQ ; [Osiw 302 4- {000030; A A.- & 6’ 2‘5 0 l0 F— ‘JS'B x0 7“. “845 4°23!» O “13 to ”73—:05 £0 £5 :2. '3." K A /\ A A A ' '4' L/ a; E + k 3/ 3% _ O 315' 53.5 o S is); 0 ‘2. O 0 “SO 0 Ow“? ‘ ‘25-‘— "-' A 5'0 1- "' A as F" A /\ —‘ ‘ j - ’ -— . -~~_b‘+-—V3“:. ‘ -\Q;>3\a 4 “‘87s- 3L-H13~7:s“ 4 . 3: - \ \J VH8 75 .. A A - 440153 +QS 3T1. \ .—- A _‘75~Ti A —- E 23:3 ‘" m3: 2 m5 ‘Qsor' “. "b VEST-.25 9-” ‘ ‘3 i __.' “ 7-0 4—‘25 h. K +sté “QRI‘K—a: E ‘_ WM Ta = L T. T. - 1.11337- . ' a. r— °~ \L231 "15) v ”9-75 A 9: kWukz, —;25 _;5—> 'T‘ _ _375’ RM dug-‘75 . T. = m. x7ogkw = 81"73 kw {A L, N a ’ WWWCO 53$: +SC T. Q ’~ ~43 _fl= +375y§k~ "r‘ : 5H8? 1311.? mewrfiicb T, = 8£-'EEM ‘ 1; =s7«03 w a IN vac/172w ' 'v i . {MW _. =&52.'~+g; «— 75%) _I\, T = (Q3. tlb't ~3:LL+§ 5 + 37-5 E) :oa \L .«xjxnggqufiLcN Lub- f: m {Mu-«L» (3., couple; we: 14. ’ .\ ZFZC '47 R=&CC\Q pm) an" "pr “ x ‘ ‘ .l\' "\ ZLMLC‘ = 9 *- _%¥ —ch)+(:mx #370520 Q.3 From the loads shown on the beam, (a) determine the resultant point forces for each distributed load shown and give their points of application. (5 pts). (b) Where would a single point force be located to be statically equivalent to the loads shown? (5 pts) (c) Draw the free—body diagram (FBD) for the beam AB showing all forces and moments (if any) present on the boom and write down the equilibrium equations. (5 pts) (a) E = Hoard we 00’3‘5m (c) Determine the reaction exerted on the beam at 5 l: A (10 pts) ‘3‘ = scam oi:— cc 2 8-b7m Em— = NOON V a -» 3-54- 13 x8- 57-: 1900?» QC = 4*8Em ...
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