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Z03_BEDF9158_05_SE_ANS

# Z03_BEDF9158_05_SE_ANS - BEDFMN_0136129153.QXD 1:40 PM Page...

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Answers to Even-Numbered Problems Chapter 1 1.2 (a) (b) (c) 1.4 1.6 The 1-in wrench fits the 25-mm nut. 1.8 1.10 1.12 1.14 (a) (b) 1.16 1.18 1.20 1.22 (a) 0.397 kg; (b) 0.643 N. 1.24 (a) (b) 1.26 163 lb. 1.28 32.1 km. 1.30 345,000 km. Chapter 2 2.2 direction is above the horizontal. 2.4 2.6 2.8 2.10 2.12 2.14 2.18 2.20 2.22 2.24 (a) F = 56.4 i + 20.5 j (lb); (b) 2.26 2.28 2.30 (a) (b) (c) 2.32 (a) (b) 2.34 2.36 2.38 2.40 2.42 14,500 lb. 2.44 2.46 2.48 2.50 2.52 ƒ L ƒ = 214 lb, ƒ D ƒ = 85.4 lb. ƒ F A ƒ = 10 kN , ƒ F D ƒ = 8.66 kN . 57.9 ° a 90 ° . ƒ F A ƒ = 1720 lb , a = 33.3 ° . ƒ F BA ƒ = 802 N . F = - 937 i + 750 j 1 N 2 . e = 0.806 i + 0.593 j . e CA = 0.458 i - 0.889 j . y B = 1173 m . x B = 785 m , y B = 907 m or x B = 255 m , r AB = - 42.4 i - 42.4 j 1 mm 2 . r AB = 52.0 i + 30 j 1 mm 2 ; ƒ r AB + r BC ƒ = 20.6 in. r BC = - 53 i + 5 j 1 in 2 ; r AB = 48 i + 15 j 1 in 2 ; r AB - r BC = i - 1.73 j 1 m 2 . r AD = - 1.8 i - 0.3 j 1 m 2 , ƒ r AD ƒ = 1.825 m . 97.4 lb. V x = 16, V y = 12 or V x = - 16, V y = - 12. ƒ F ƒ = 447 kip . F y = - 102 MN . a = 21.2 °. ƒ r BC ƒ = 390 m, ƒ F BA ƒ = 174 lb. ƒ D ƒ = 211 lb. ƒ L ƒ = 453 lb, ƒ F C ƒ = 50.0 N. ƒ F B ƒ = 86.6 N, ƒ r AC ƒ = 181 mm. ƒ F A + F B + F C ƒ = 83 N . 32 ° ƒ F AB + F AC ƒ = 146 kN, 6.71 * 10 20 kg. 4.60 * 10 19 slugs ; (a) kg-m/s; (b) 2.70 slug-ft/s. 27.4 lb/ft. 2.07 * 10 6 Pa . 32.2 in 2 . 0.0208 m 2 ; g = 32.2 ft/s 2 . 310 N-m. (a) 267 mi/h; (b) 392 ft/s. 17.8 m 2 . e 2 = 7.3892. e 2 = 7.3891; e = 2.7183; 2.54 2.56 2.58 2.60 2.62 2.64 2.66 (a) (b) 2.68 (a) (b) 2.70 2.72 2.74 2.76 2.78 (a) (b) 2.80 2.82 2.84 2.86 2.88 (a) (b) 2.90 2.92 259 lb. 2.94 2.96 2.98 2.100 2.102 Either or V is perpendicular to U . 2.104 2.108 2.110 2.112 2.114 (a) 42.5°; (b) 2.116 2.118 2.120 2.122 2.124 (a) 2.126 2.128 Either or V is parallel to U . 2.130 (a), (c) (b), (d) V * U = 51.8 k . U * V = - 51.8 k ; ƒ V ƒ = 0 2180 i + 1530 j - 1750 k (ft-lb). U * V = 44 i + 56 j - 16 k . v p = - 1.30 i - 1.68 j - 3.36 k 1 m/s 2 . F p = - 0.1231 i + 0.0304 j - 0.1216 k 1 lb 2 . T n = - 37.1 i + 31.6 j + 8.2 k 1 N 2 . F n = 10 i + 6.46 j - 9.69 k 1 N 2 . F p = 5.54 j + 3.69 k 1 N 2 , - 423 j + 604 k 1 lb 2 . 14.0 i + 11.2 j - 8.40 k (N). u = 53.5 ° . u = 62.3 ° . U x = 2.857, V y = 0.857, W z = - 3.143. ƒ V ƒ = 0 32.4 °. T = - 41.1 i + 28.8 j + 32.8 k 1 N 2 . T = - 15.4 i + 27.0 j + 7.7 k 1 lb 2 . ƒ F AC ƒ = 1116 N , ƒ F AD ƒ = 910 N . ƒ F ƒ = 424 lb. F = - 2.29 i - 6.86 j + 3.43 k 1 kN 2 . e BC = - 0.286 i - 0.857 j + 0.429 k ; F = 474 i + 516 j + 565 k (N). ƒ F A + F B ƒ = 217 lb. h = 8848 m 1 29,030 ft 2 . cos u y = 0.970, cos u z = 0. cos u z = 0.333. r BR : cos u x = - 0.242, r AR : cos u x = 0.667, cos u y = 0.667, cos u z = - 0.615. cos u x = 0.615, cos u y = - 0.492, ƒ r AB ƒ = 16.2 m ; F = 300 i + 477 j + 205 k (lb). e CD = - 0.535 i + 0.802 j + 0.267 k . r BD = - i + 3 j - 2 k 1 m 2 , ƒ r BD ƒ = 3.74 m . F = - 0.5 i + 0.2 j + 0.843 k . e = 0.333 i - 0.667 j - 0.667 k . cos u z = - 0.667; cos u x = 0.333, cos u y = - 0.667, ƒ 3 U + 2 V ƒ = 27.5. ƒ U ƒ = 7, ƒ V ƒ = 13; U y = 7.22, U z = 28.89. or U x = - 3.61, U z = - 28.89 U x = 3.61, U y = - 7.22, e z = 2 3 or e z = - 2 3 . r = (0.814s - 6) i + (0.581s + 1) j (m). x = 75 - 0.880s, y = 12 + 0.476s. ƒ F AC ƒ = 2.11 kN , ƒ F AD ƒ = 2.76 kN . ƒ F A ƒ = 68.2 kN . 613 BEDFMN_0136129153.QXD 4/14/07 1:40 PM Page 613

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614 Answers to Even-Numbered Problems 2.134 (a) (b) 2.136 2.138 2.140 2.144 2.146 2.148 2.150 2.152 2.154 2.156 2.158 (a), (b) 2.160 2.162 2.164 2.166 Chapter 3 3.2 3.4 3.6 3.8 3.10 (a) (b) 3.12 (a) (b) 3.14 (a) 254 lb; (b) 41.8°. 3.16 5.91 kN. 3.18 (a) 128 N; (b) 98.1 N. 3.20 3.22 188 lb. 3.24 (a) 66.1 lb; (b) 12.3 lb. 3.26 3.28 Upper cable tension is 0.828 W , lower cable tension is 0.132 W . 3.30 3.32 3.34 3.36 3.38 3.40 3.44 3.46 3.48 (b) Left surface: 36.6 lb; right surface: 25.9 lb. 3.50 3.52 3.56 3.58 (a) (b) (c) 3.60 3.62 (a) (b) 4 km. g = - 14.0 ° ; L = 131.1 kN , D = 36.0 kN. T = W > 8. T = W > 4; T = W > 2; m 2 = 12.5 kg. T = mgL > ( h + R ). k = 1420 N/m. W 1 = 133 lb. T BC = 21.4 N , T CD = 62.6 N . a = 79.7 ° , T AB = 120 N , T AB = 64.0 kN , T BC = 61.0 kN. T AB = 688 lb. h = b. F B = 3680 lb, F C = 2330 lb. m = 12.2 kg. T AB = 1.21 N, T AD = 2.76 N . T AB = 2.75 kN , T BC = 2.06 kN. T left = 299 lb , T right = 300 lb . a = 31.0 ° . ƒ N ƒ = 11.06 kN , ƒ f ƒ = 4.03 kN ; ƒ N caisson ƒ = 3.22 kN , ƒ f caisson ƒ = 0.707 kN . ƒ N crane ƒ = 197 kN , ƒ f crane ƒ = 0.707 kN ; k = 1960 N/m , m A = 4 kg , m B = 6 kg. T = 785 N, P = 823 N. T AB = T AC = 1.53 kN .
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