ENES102_S08_Ex1_Answers

ENES102_S08_Ex1_Answers - F CD = 66.45 lb F EF = 36.65 lb W...

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Answer Key for Old Exam Problems - Exam #1 Vector Problems : 1) F x = 0 F y = 75.90 lb F z = 25.30 lb θ = 42.44 ° M A = ( 25.30 i 50.60 j 151.8 k ) lb-ft 2) F x = 95.94 lb F y = 63.69 lb F z = 95.94 lb θ = 55.26 ° M B = ( 511.7 i 767.5 j ) lb-ft 3) F = (7.767 i 5.825 j 17.48 k ) N M O = (61.16 i + 81.55 j ) N-m α = 67.15 ° β = 106.9 ° γ = 150.9 ° θ = 29.10 ° F OA = 17.48 N 4) T = (320.7 i + 641.5 j 962.2 k ) N M O = ( 2887 i 962.1 k ) N-m α = 74.50 ° β = 57.68 ° γ = 143.3 ° θ = 74.50 ° F OB = 962.2 N 5) F = (74.27 i + 111.4 j 148.5 k ) lb M A = ( 2228 i 296.6 j 1337 k ) lb-ft α = 68.20 ° β = 56.15 ° γ = 137.9 ° θ = 34.10 ° 6) r AB = (0.8 i + 1.5 j 2 k ) m α = 72.26 ° β = 55.15 ° γ = 139.6 ° T = (30.48 i + 57.14 j 76.19 k ) N M O = ( 114.3 i + 182.9 j + 91.42 k ) N-m 7) r AB = (6 i 5 j 30 k ) m α = 78.84 ° β = 99.28 ° γ = 165.4 ° T = (1.935 i 1.613 j 9.677 k ) kN M O = ( 125.8 i + 58.05 j 34.83 k ) kN-m 2D Concurrent Equilibrium Problems : 1) F CF = 29.88 lb
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Unformatted text preview: F CD = 66.45 lb F EF = 36.65 lb W A = 33.78 lb 2) F CE = 96.59 lb F EG = 136.6 lb F CD = 85.37 lb W B = 119.5 lb 3) T = 402.13 lb T 2 = 804.25 lb A x = 0 A y = 804.25 lb 4) T = 482.55 lb T 2 = 965.10 lb D x = 0 D y = 1930.2 lb 5) T AC = 39.71 N m = 4.444 kg 6) T AC = 89.36 N k = 2.25 N/mm 7) F AB = 1.1547W F AE = 0.57735W F BD = 1.6667W F BC = 1.9107W F AH = W m = 32.55 slugs 2D Non-Concurrent Equilibrium Problems : 1) A x = 622.2 N A y = 885.9 N T = 1037 N 2) A x = 0 A y = 21 kN B y = 18 kN 3) B x = 0 B y = 112.5 kN E y = 31.5 kN 4) A x = 800 lb A y = 550 lb B y = 950 lb 5) A x = 500 lb A y = 1325 lb B y = 1075 lb 6) A x = 16 kN A y = 8 kN F BC = 20 kN L d = 2.1 m 7) N A = 468.4 lb D x = 84.2 lb D y = 594.4 lb...
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This note was uploaded on 05/19/2008 for the course ENES 102 taught by Professor Biegel during the Spring '07 term at Maryland.

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