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Unformatted text preview: PROBLEM 2.108 A 750kg crate is supported by three cables as shown. Determine the
tension in each cable. SOLUTION See Problem 2.105 for the ﬁgure and the analysis leading to the linear algebraic Equations (1), (2). and (3)
below: 4.4ng + 0.5194371“) : o
0.82"“. + 0.882357“. + 0.7792250 7 w = 0 43.36733 + 0.470591% — 0.350651% 2 0 Substituting W : (7'50 kg)[9.81 111/52) = 7.36 kN in Equations (1), (2). and (3) above, and solving the
resulting set of equations using conventional algorithms, gives
Ti“, = 2.63 kN 4 r“. z 3.32 kN 4 rm 2 2.43 kN 4 PROBLEM 2.114 A rectangular plate is supported by three cables as shown. Knowing that
the tension in cable AD is 120 lb. determine the weight of the plate. Dimensions in inches SOLUTION Based on the results of Problem 2,11 I, particularly Equations (1), (2) and (3), we substitute TAD = 120 lb and solve the three resulting linear equations using conventional tools for solving Linear Algebraic Equations
(MATLAB or Maple, for example), to obtain T45 : 12.5911: TAB : 114,111; W = 177.2 lb { PROBLEM 2.126 For the system of Problem 2.125, determine W and P knowing that
Q : 160 N. ltl (/ A\NI
th'nmm “k mm
8 \\ h. \\ Problem 2.125: A container of weight W is suspended from ring A.
MU mu. Cable BAC passes through the ring and is attached to ﬁxed supports at B
and C. Two forces P = Pi and Q = Qk are applied to the ring to
maintain the container is the position shown. Knowing that W = 1200 N.
determine P and Q. (Him. The tension is the same in both portions of
cable BA C.) l l
\ / 7311mm
.1 l ‘
.‘\ l‘
1‘) Q
E u‘ SOLUTION Based on the results of Problem 2.125, particularly the three equations relating P. Q, W and T we substitute
Q : 160 N to obtain £39.31. = 456.3 N 7 0.3506 W :SOONC
P=107.0N4 ...
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 Spring '08
 Jenkins
 Statics, Equations, Elementary algebra, 0.82, 0.350651%

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