Old Exam 1

Old Exam 1 - ,‘ ' The tensxon t‘orce T! in the cable BC...

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Unformatted text preview: ,‘ ' The tensxon t‘orce T! in the cable BC has a L/Kcrw l—c ‘K‘IWMA Q"! PROBLEM #1 Given: A force of 10-kN is applied at F to the mast which is supported by two cables BC and ED. magnitude of lS-kN. Find: a) The force I! applied by the cable at BC. on the mast at B in terms of its xvz components. I, = 5&- - 21-145 KN b) The magnitude of the projection or force 0 II along the line AC. «rucc‘: 5.395 RN c; The moment of the lO-kN force about the pointD. Mb: -602, -905 RN-m ’X .- d) The magnitude of the moment of the lO-kN t'orcc along the line AD. MA) :. 5—642. kN- m PROBLEM #2 Given: Three t'orces and a couple acring on a L-shaped bracket shown. Find: a) The equivalent force-couple syStem at the base D of the bracket. 5: -25’5' 4 .4: b) The resultant of the three forces and the on the y-axis through which the resultant _ mustpass. E : --.24(,. 4 935-04 - NOTE: Drawing appropriate tigures is important. PROBLEM #3 Given: A bracket and pulley assembly weighs 85 lbs with the combined center of gravity at G. A force of 100 lb is applied to the cable end which goes over the pulley at B. The other end of the cable is attached at D on the vertical line AC. Find: The reactions of the pin at C on the bracket. Express the result in vector torm. Q = — “{6- 6i; ‘4' I'H‘é Why is the result independent ot‘ the Iocatton ot‘ the attacnment pomt D'.’ ' 35.0!- Nagt M - Couple. and the y-coordinate of the point ‘5‘ [332‘ gig" ISBN _ .2 3P:—o-ozgm a." SPRING 1942. PROBLEM #1 Given: Ttvo forces E, and E, are as shown. The force El has a magnitude of 150 lbs. The force 5, is given by E, =—lOOi_—-65j_lb. F ind: a) The force E‘ . expressed as a vector in terms of the x y z coordinate syStem shown. The directiOn angles of the force E. a) The moment of force E, about the point D. The magnitude of the moment of E, about \ the line AD. 4) fl :me; + 104-251. ~72~I5 5 lbs b) 8,317" 9y 145-0 J Ba : //8.8° c) [13 = 533‘; +900; +13”); [5- in 4) )H - — “Ab PROBLEM?” PART A (3 pts.) Given: 3 lb-ft. Find: The cquipollent force and couple :1! O. F=3klb _r~ ._ J M = ‘0 l The 3 lb force at A and the couple of magnitude {47‘ PART B (12 ms.) Given: One 50 N-force. a uismbuted load. and a 500 N-m mutate acung on me memoer ABC. Find: I l\ .1) 'th SlmplCSI resultant wmcn 15 a smgtc tome. and 1 6 m. b) The pomt on the x‘axis through which the line of I i _ tction of the smgic force in (:1) must pass. ‘ 39 N a) Er: "Emit-5‘04; M b) Anamevm Ea mugged/3‘. PROBLEM #3 Given: A uniform bar weighing 60 lbs rests in a horizontal position againSt two smooth inclined surfaces. A con- ccnmtcd vertical load of 200 lbs acts at ti .distance x from the end B of the bar. The bar is in cquutbnum. Find: 1; The mazmtudcs of reactions at A and B. b) The disumce x. 4) Nb: tag-Nb than.er 5) 7L: 1.44 18t— PAL; 3-2 6:9. ~ w- PROBLEM #1 Given: Two t'orces E. and E. are as shown. The force 5.. along the line joining points 0 and E. has a magm- ‘tude or 150 N. The force E. is given by E\=izoj_+aogN. Find: a) The vector expresston for E, in terms of the x y z coordinate system. b) The direcoon angles of the force 13‘. c) The angle between the forces El and E). d) The moment of force Ed about point C. PROBLEM #2 Given: Three forces and a couple g act on a box as shown. The coupie Q has a magnitude of 200 lb-ft and its direction is perpendicular to the shaded plane OED.asshown. Find: a) An expression for the couple (_: as a vector. in terms of the unit vecmgiand l_t_. b) A force at B and a couple. equipollent to the given system of forces and couples. c2 Can the given system of forces and couples be / reduced to an equtpoilent Single force? You need A A A to give appropriate mathematical argument to x a.) Q : €971 ‘l336’ +(33k (’5' Ft obtain complete credit. 5) frz—KO'O44+/U'Df+5‘02 [b A PROBLEM” g (lib:— 66-72-133f-66'7k M3147 Given: LM Lt. red uncut 1’0 A The bent rod AB is supported at B by a pin joint. _ and at A by a roller resung on an inclined plane. The rod is subjected to a force of 390 lb. a couple of magnitude 300 lb-ft. and is in equtlibriurn. Neglec: the weight of the bar. Find: :1) Draw the free-body diagram of the rod. b) The reactions at the toilet-A and at the pin 8. 6) ’VA .2 /0-S"/ lb §197'9t4+a268-7; £5 #6? 270 - ark/9me E'Xflvflvanuuf tt/ Name (Print) 50 C U770 NS Instructor ME 270 EXAMINATION #1 THURSDAY, FEBRUARY 18, 1999 PROBLEM #1 Given: The rod shown is supported by two brackets at A and B. ' Z Find: (a) The moment about the line from A to B. MAB. produced by force F of magnitude 1?] = 1000 N. (The line of action of force F is from C to D.) (b) What is the angle between the line of action of force F and the y-axis? Use the vector approach! (Q) 17—- = " )- '_ - F— " 0 2 " 4 3/5 F / % J Ié‘: (coo '— = F- _. / -0'6r‘0'3r‘0'2.‘ = -— .. can a,” ‘T.’(-‘ " "a in.“ .L 0.07 I 0.0Y gnu- 1q’g‘ h, F I? l7 1" ) MI 2 / - - ~ — A an a ' [7 = .e" — . --. _ I? .- Iy~ A / .— ”" U %)e"“” 2% {73‘ '1fi”*mmf ’74,; " Mw~ “I Q’Wr Hm r ~59; 1‘) (Mr) = (“"Xm) cus- Gu 5‘22 0 c. a. $49.2" /: a: n.3’. fl”? '7' ‘37?”W ‘0‘ A Mate as: IF you m~ Sflaw mm— A 6160344 We»: 4: 52’?! MW 3’0 IPN Meir/ow on A “Mega .me‘sr OF P4ng 4' 2» av an I - rt "tremor: m , be at» 4-53 7.1.;qu 0‘ Mum, "F 9M,“ “0*?!ka 0F A warm aF mac"; n,"- RP (PM “N F“? m km waif“: ?. , ‘ TH! Alanna; e4- Pomtr Jame") MINNVIDUM mm on FIS'HL'IPJ 0F M1“ 00m- rr Arrfiflso! Ir 4’ A dour-mu OF 40de . 3' Mn-w_ flaw- 72> 38F flare-Ives zma— 7m— mm cow ma. mm #74:: Rtrumv 0P r»? emu! WM ME 270 EXAMINATION #1 Name February l8. l999 IPrinti [Lusti iFirsti PROBLEM #2 Given: The street-lights at A and B are suspended from the two poles at the same height of l8 ft. [feach light has a weight of 50 lb, determine the tension in each of the three supporting cables and the height 12 of the pole DE. find: T <9 7‘ M 7‘ A 7' c D 4 ac qty]. ‘qaf: I. SOIL rig-o 733.940 :0 no {6:0 "7;DC°I9F;a-o 7;: 7:0 = fan any)”: 57-0 " w .— ro __ .. It 7;» ‘ Enra’wi ‘7‘ /' i?” ' 40F" / 4 = 23 a4 PROBLEM #3 Given: The beam shown is pin-connected at A and rests against a frictionless roller at B. The beam is subject to a force F = 60 N. and a couple M = 75 Nm applied at C. Find: The reaction force vector X from the pin. f) 2);, =0 I- —;,..F(,) —U(A7r)=o/- 4v: -/}bM o A TF=O _ largo-‘4 =9 .A =-M.a.;1u:(¢vfi,,7 g 1 F =3 A {F}, 20 I‘ I/QJJQ.I-I? -F=o/- 6,:F— filmm' N , — “mew-no = 4:2” ,9 : for .i. air-7.54: w 5 9c \r-E °\‘5 PROBLEM # L: Given: A Gambrel roof truss ABCDEFGH supports the forces shown in the figure At A, the truss is supported by a roller, and at H, the truss is supported by a pin joint. Find: H a) The reaction forces acting on the truss at points A and )1; write these forces as vectors; b) The forces in the members BC, CE and BD; c) Clearly state the nature of forces in the members BC, CE and BD, that is, are the l . . . . members 1n tensron or 1n compressmn. v“. = \acxz. MA Rx): "\38 k R #2: For the truss shown below: a) Identify ALL of the zero-load members. V b) Determine the load carried by members HI, CH and BC. :5: = E = MM‘A RC = $000\\b(c\ ...
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Old Exam 1 - ,‘ ' The tensxon t‘orce T! in the cable BC...

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