HW11-Solution

HW11-Solution - HW11 - Solution Terry Cooke: Cal Poly San...

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Unformatted text preview: HW11 - Solution Terry Cooke: Cal Poly San Luis Obispo Chapter 4, Solution 116 See solution to Problem 4.115 for free-body diagram and analysis leading to the following: CD 1065 mm CE 855 mm Now: TCD TCE W MA T ( 690i 675 j 450k ) 1065 T (270i 675 j 450k ) 855 mgi (100 kg)(9.81 m/s 2 ) j 0: rC/A TCE (981 N)j 0 rG/A ( Wj) rB/A B i j 600 0 270 675 k T 450 855 450 T 855 i 390 0 j k 0 225 981 0 0 i j 780 0 0 By k 0 Bz 0 Coefficient of i: (450)(675) 220.725 103 T 621.3 N T 621 N Coefficient of j: Coefficient of k: (270 450 600 450) (600)(675) 621.3 980 Bz 855 780 By 0 Bz 0 By 364.7 N 113.2 N 621.3 382.59 103 855 B F 0: A B TCE W 0 (113.2 N)j (365 N)k Coefficient of i: Coefficient of j: Coefficient of k: Ax 270 (621.3) 855 0 Ax 196.2 N Ay Az Ay 113.2 Az 364.7 675 (621.3) 981 0 855 450 (621.3) 855 0 377.3 N 37.7 N A (196.2 N)i (377 N)j (37.7 N)k Chapter 4, Solution 121 Free-Body Diagram: rA/C rE/C 4.2 j 2k 1.6i 2.4 j MC 0: rA/C ( 6 j) rE/C T (i k ) ( M C ) y j ( M C ) z k 0 0 (4.2 j 2k ) ( 6 j) (1.6i 2.4 j) T (i k ) ( M C ) y j ( M C ) z k Coefficient of i: Coefficient of j: Coefficient of k: 12 2.4T 0 T 5 lb 1.6(5 lb) (M C ) y 2.4(5 lb) ( M C ) z 0 (M C ) y 0 (M C ) z 8 lb in. 12 lb in. MC (8 lb in.)j (12 lb in.)k F 0 : C x i C y j C z k (6 lb)j (5 lb)i (5 lb)k 0 Equate coefficients of unit vectors to zero. Cx C 5 lb C y 6 lb C z 5 lb (5.00 lb)i (6.00 lb)j (5.00 lb)k Chapter 4, Solution 132 Free-Body Diagram: Five unknowns and six Eqs. of equilibrium. But equilibrium is maintained ( MAB 0) W W mg (10 kg) 9.81m/s 2 98.1 N GC TT rB/ A rG/ A MA 300i 200 j 225k GC 425 mm GC T ( 300i 200 j 225k ) GC 425 600i 400 j 150 mm 300i 200 j 75 mm 0: rB/ A B rG/ A T rG/ A ( Wj) i j k 600 400 150 B 0 0 i j 300 200 300 200 0 k T 75 425 225 i 300 0 j k 200 75 98.1 0 Coefficient of i : ( 105.88 35.29)T 7357.5 0 T 52.12 N 52.12 425 T 52.1 N Coefficient of j : 150 B (300 75 300 225) 0 B F 0 : A B T Wj 0 73.58 52.15 52.15 52.15 200 425 225 425 300 425 0 73.58 N B (73.6 N)i Coefficient of i : Ax Coefficient of j: Ay Coefficient of k : Az Ax 36.8 N 98.1 0 0 Ay Az 73.6 N 27.6 N ...
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This note was uploaded on 11/07/2010 for the course ME 211 taught by Professor Staff during the Fall '05 term at Cal Poly.

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