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Sol Cap 02 - Edicion 8

COSMOS: Complete Online

COSMOS: Complete Online Solutions Manual Organization System Chapter 2, Solution 96. AB !!!" AB =− i + j + k ( 600 mm) ( 360 mm) ( 270 mm) ( ) ( ) ( ) 2 2 2 AB = − 600 mm + 360 mm + 270 mm = 750 mm AB = 750 mm !!!" AC =− 600 mm i + 320 mm j − 510 mm k ( ) ( ) ( ) ( ) ( ) ( ) 2 2 2 AC = − 600 mm + 320 mm + − 510 mm = 850 mm AC = 850 mm !!!" T AB 765 N AB = TAB = ⎡− ( 600 mm) + ( 360 mm) + ( 270 mm) ⎤ AB 750 mm ⎣ i j k ⎦ ( 612 N) ( 367.2 N) ( 275.4 N) T AB =− i + j + k !!!" T AC 510 N AC = TAC = ⎡− ( 600 mm) + ( 320 mm) − ( 510 mm) ⎤ AC 850 mm ⎣ i j k ⎦ ( 360 N) ( 192 N) ( 306 N) T AC =− i + j − k AC ( 972 N) ( 559.2 N) ( 30.6 N) R = T + T = − i + j − k Then R = 1121.80 N R = 1122 N ! −972 N cosθ x = θ x = 150.1°! 1121.80 N 559.2 N cosθ y = θ y = 60.1°! 1121.80 N −30.6 N cosθ z = θ z = 91.6°! 1121.80 N 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 97. Have T ( 760 lb)( sin 50 cos 40 i cos50 j sin 50 sin 40 k ) AB = ° ° − ° + ° ° AC AC ( cos 45 sin 25 sin 45 cos 45 cos 25 ) T = T − ° ° i − ° j + ° ° k (a) R = T + T ( R ) = 0 A AB AC A x ( ) ( R ) F 0: ∴ = Σ = A x 760 lb sin 50° cos 40° − cos 45° sin 25° = 0 T AC x or T = 1492.41 lb AC ∴ = 1492 lb ⊳ (b) ( RA) =Σ Fy = ( − 760 lb) cos50°− ( 1492.41 lb) sin 45° y ( R A) y =− 1543.81 lb ( RA) Fz ( 760 lb) sin 50 sin 40 ( 1492.41 lb) cos 45 cos 25 z ( R A) z = 1330.65 lb ∴ = − ( 1543.81 lb) + ( 1330.65 lb) Then T AC =Σ = ° °+ ° ° R j k A R A = 2038.1 lb R A = 2040 lb ⊳ 0 cosθ x = 2038.1 lb θ x = 90.0°⊳ cos θ y −1543.81 lb = θ y = 139.2°⊳ 2038.1 lb 1330.65 lb cosθ z = θ z = 49.2°⊳ 2038.1 lb 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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