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Sol Cap 02 - Edicion 8

COSMOS: Complete Online

COSMOS: Complete Online Solutions Manual Organization System Chapter 2, Solution 94. ( 6 kips)[ cos30 sin 20 sin 30 cos30 cos 20 ] P = ° ° i − ° j + ° ° k ( 1.77719 kips) ( 3 kips) ( 4.8828 kips) = i − j + k ( 7 kips)[ cos 45 sin15 sin 45 cos 45 cos15 ] Q = − ° ° i + ° j − ° ° k ( 1.28109 kips) ( 4.94975 kips) ( 4.7811 kips) ( 0.49610 kip) ( 1.94975 kips) ( 0.101700 kip) =− i + j − k R = P + Q = i + j + k ( 0.49610 kip) ( 1.94975 kips) ( 0.101700 kip) 2 2 2 R = + + R = 2.0144 kips or R = 2.01 kips ⊳ Rx 0.49610 kip cosθ x = = = 0.24628 R 2.0144 kips Ry 1.94975 kips cosθ y = = = 0.967906 R 2.0144 kips Rz 0.101700 kip cosθ z = = = 0.050486 R 2.0144 kips or θ x = 75.7°⊳ θ = 14.56°⊳ y θ = 87.1°⊳ z Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

COSMOS: Complete Online Solutions Manual Organization System Chapter 2, Solution 95. AB uuur AB =− i + j + k ( 600 mm) ( 360 mm) ( 270 mm) ( 600 mm) ( 360 mm) ( 270 mm) 2 2 2 AB = − + + AB = 750 mm uuuv AC =− 600 mm i + 320 mm j − 510 mm k ( ) ( ) ( ) ( 600 mm) ( 320 mm) ( 510 mm) 2 2 2 AC = − + + − AC = 850 mm uuur T AB 510 N AB = TAB = ⎡− ( 600 mm) + ( 360 mm) + ( 270 mm) ⎤ AB 750 mm ⎣ i j k ⎦ ( 408 N) ( 244.8 N) ( 183.6 N) T AB =− i + j + k uuur T AC 765 N AC = TAC = ⎡− ( 600 mm) + ( 320 mm) − ( 510 mm) ⎤ AC 850 mm ⎣ i j k ⎦ ( 540 N) ( 288 N) ( 459 N) T AC =− i + j − k AC ( 948 N) ( 532.8 N) ( 275.4 N) R = T + T = − i + j − k Then and cos R = 1121.80 N R = 1122 N ⊳ θ x −948 N = θ x = 147.7°⊳ 1121.80 N 532.8 N cosθ y = 1121.80 N θ y = 61.6°⊳ − 275.4 N cosθ z = 1121.80 N θ z = 104.2°⊳ Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

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