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8 months ago

Sol Cap 02 - Edicion 8

COSMOS: Complete Online

COSMOS: Complete Online Solutions Manual Organization System Chapter 2, Solution 98. Have T = T ( sin 50° cos 40° i − cos50° j + sin 50° sin 40° k ) AB AB ( 980 lb)( cos 45 sin 25 sin 45 cos 45 cos 25 ) T AC = − ° ° i − ° j + ° ° k (a) R = T + T ( R ) = 0 A AB AC A x AB ( R ) F 0: ∴ = Σ = A x ( ) T sin 50° cos 40° − 980 lb cos 45° sin 25° = 0 x or T AB = 499.06 lb ∴ = 499 lb ⊳ T AB (b) ( RA) F y y ( ) ( ) ( R A) y =− 1013.75 lb ( RA) F z z ( ) ( ) ( R A) z = 873.78 lb ∴ R = − ( 1013.75 lb) j + ( 873.78 lb) k Then and A =Σ =− 499.06 lb cos50°− 980 lb sin 45° =Σ = 499.06 lb sin 50° sin 40°+ 980 lb cos 45° cos 25° R = 1338.35 lb R = 1338 lb ⊳ A 0 cosθ x = θ x = 90.0°⊳ 1338.35 lb A cos θ y −1013.75 lb = θ y = 139.2°⊳ 1338.35 lb 873.78 lb cosθ z = θ z = 49.2°⊳ 1338.35 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.

COSMOS: Complete Online Solutions Manual Organization System Chapter 2, Solution 99. !!!" Cable AB: AB =− ( 600 mm) + ( 360 mm) + ( 270 mm) i j k ( ) ( ) ( ) 2 2 2 AB = − 600 mm + 360 mm + 270 mm = 750 mm !!!" T AB 600 N AB = TAB = ⎡− ( 600 mm) + ( 360 mm) + ( 270 mm) ⎤ AB 750 mm ⎣ i j k ⎦ ( 480 N) ( 288 N) ( 216 N) T AB =− i + j + k !!!" AC =− 600 mm i + 320 mm j − 510 mm k Cable AC: ( ) ( ) ( ) ( ) ( ) ( ) 2 2 2 AC = − 600 mm + 320 mm + − 510 mm = 850 mm !!!" T AC TAC AC = TAC = ⎡− ( 600 mm) + ( 320 mm) − ( 510 mm) ⎤ AC 850 mm ⎣ i j k ⎦ 60 32 51 TAC =− TACi + TACj − TACk 85 85 85 Load P: P =−P j 51 (a) ( RA) =Σ Fz = 0: ( 216 N) − TAC = 0 or T 360 N z AC = ! 85 32 RA =Σ Fy = 0: 288 N + TAC − P = 0 or P = 424 N ! y 85 (b) ( ) ( ) 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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