2009_exam_1_solution1

2009_exam_1_solution1 - Name (CCng 1. Please complete the...

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Unformatted text preview: Name (CCng 1. Please complete the following short problems. For parts 1A and 18, we will consider three M88 recovery vehicles pulling an M1 tank back onto the road as shown below. M88 #2 1A. If the magnitude of the cable forces acting on the tank are known to be F1 = 10,000 lb, F2 = 15,000 lb and F3 = 20,000 lb, determine the tot 1 moment th / the cable forces F1, F2 and F3 exert about the tank’s center of mass [see fi re of tan bove right). Assume that the tank's center of mass G is at the geometric cent of th ectangle shown. [6 points) \lOK l2. Lam / c. " [2 ' to ~ + c. ~ (5 "‘ W: {o k, FL :DIA—IOV—aéj m Cr: I F71,— .. (ggfl) 509;: «F FL: 0.401;: + mng ’1‘ . __ A ‘(Ofi W‘ cw» l1? wao k [5‘4 {J 204 A 5 HM; alum/5'0; +08% {:3 éoo’s amen!wa . j C/(A'bC/b: m Fl :0 ~ xv 8 fl 3‘ L CW (/0 c, o : odd 47,50 x029 O Name S O ’5 \5 13. What is the total resultant force due to all three forces acting on the tank? Please write your answer in vector form. (4 points) b ’L ’1. O 4— l O 4, 0 FE?— ;;,q% + ‘2th +0 '17. ($0 +10:qu “lo *S‘Céf + 2.9.<;jzj“% 04 F = "* total '3 66: ¢3$95J+ 04, ~56m: $29911 “‘04 M Ii S°lu+3aw Name 1C. What is the moment caused by the force in cable CD about the origin? Express the moment in vector form. Then find the scalar component of the moment about the line connecting points 0 and F? (10 points) U1"M MOF = Name " l 2. A crate with a mass of 100 kg is suspended as shown. 2A. First, draw a free bod dia ram of rin A in the s rovided. 6 o oints 28. Second, find the unit vectors that provide the directions for the forces in cables AD, AB, and AC. (6 points) .. .5? —- TI -%‘1‘ WM— ZC. If the system is in equilibrium, determine the magnitude of the tensile force in each cable. (8 points) i Name fa“ \d] 3A. A catwalk with a mass of 100 kg has two roller supports and a cable fastening it to the dock. In the space provided, please draw a complete free body diagram of the catwalk. (5 points) Free Body Diagram Determine the magnitudes of the forces at A and B as well as the tension, T, in the cable. (6 points) Name 66 lu‘h at. 3B. Determine the total force due to the distributed load. Then, on a separate figure, replace the distributed load with a single concentrated force at the correct location. You may assume that k = 50 N/m4 and a = 0.5 m. (5 points) Replace the distributed load with a single force here. Total Force: p.7?( W n .Ei‘ N "i: gala—HZ». Name 3C. Determine the total force due to thedistributed load. Then, on a separate figure, replace the distributed load with a single concentrated force at the correct location. (4 points) Replace the distributed load with a single force here. 1 80 lb/ft Total Force = 51“) mi. . Location = g :— é a: Hffi 1094+} w F: i; (am: Wows/m = tbs. ...
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2009_exam_1_solution1 - Name (CCng 1. Please complete the...

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