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Sol Cap 02 - Edicion 8

COSMOS: Complete Online

COSMOS: Complete Online Solutions Manual Organization System Chapter 2, Solution 120. Refer to the solution of problem 2.119 and the resulting linear algebraic Equations (1), (2), (3). Include force P =− 45 lb k with other forces of Problem 2.119. ( ) Now at point A: Σ F =0: T + T + N + W + P 0 AB AC = i component: j component: k component: 30 16 −0.6TAB − TAC + N = 0 38 34 (1) 20 30 0.48TAB + TAC + N − 175 lb = 0 38 34 (2) 12 0.64TAB − TAC 38 − 45 lb = 0 (3) Solving (1), (2), and (3) simultaneously: T = 81.3 lb ⊳ AB T = 22.2 lb ⊳ AC 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 121. Note: BE shares the same unit vector as AB. Thus: ( 25 mm) cos45° i + ( 200 mm) j − ( 25 mm) sin 45° k λBE = λAB = 201.56 mm T TBE BE = TBEλBE = ⎡( 25 mm) cos45 ° + ( 200 mm) − ( 25 mm) sin 45° ⎤ 201.56 mm ⎣ i j k ⎦ T TCF CF = TCFλCF = ⎡( 25 mm) cos30 ° + ( 200 mm) + ( 25 mm) sin 30° ⎤ 201.56 mm ⎣ i j k ⎦ T TDG DG = TDGλDG = ⎡− ( 25 mm) cos15 ° + ( 200 mm) − ( 25 mm) sin15° ⎤ 201.56 mm ⎣ i j k ⎦ W = −Wj ; P = Pk At point A: ΣF =0: TBE + TCE + TDG + W + P =0 i component: 0.087704T + 0.107415T − 0.119806T = 0 (1) BE CF DG j component: 0.99226T + 0.99226T + 0.99226T − W = 0 (2) BE CF DG k component: − 0.087704T + 0.062016T − 0.032102T + P = 0 (3) BE CF DG Setting W = 10.5 N and P = 0, and solving (1), (2), (3) simultaneously: T = 1.310 N ! BE T = 4.38 N ! CF T = 4.89 N ! DG 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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