The rigid L-shaped member BCDE, of negligible weight, is supported by a frictionless ball and socket joint at E and by three cables, two connected at D and one connected at B. A load of QN is applied parallel to the z axis at point C. Cable DG is parallel to the y axis. (a) Draw the free body diagram of the member BCDE. (b) Define all force vectors found on the free body diagram in component form (î, ĵ, ✩). This includes any reactions, externally applied forces, and the tensions in the cables. (c) Determine the magnitude of the tensions in cables DF, DG, and BA and the reaction forces acting at point E. Z 100 mm F 100 mm 70 mm G E D Ω(Ν) 90 mm B x

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Chapter12: Static Equilibrium And Elasticity
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Omega is equal to 100

The rigid L-shaped member BCDE, of negligible weight, is supported by a
frictionless ball and socket joint at E and by three cables, two connected at D
and one connected at B. A load of QN is applied parallel to the z axis at point C.
Cable DG is parallel to the y axis.
(a) Draw the free body diagram of the member BCDE.
(b) Define all force vectors found on the free body diagram in component
form (î, ĵ, ✩). This includes any reactions, externally applied forces, and
the tensions in the cables.
(c) Determine the magnitude of the tensions in cables DF, DG, and BA and
the reaction forces acting at point E.
Z
100 mm
F
100 mm
70 mm
G
E
D
Ω(Ν)
90 mm
B
x
Transcribed Image Text:The rigid L-shaped member BCDE, of negligible weight, is supported by a frictionless ball and socket joint at E and by three cables, two connected at D and one connected at B. A load of QN is applied parallel to the z axis at point C. Cable DG is parallel to the y axis. (a) Draw the free body diagram of the member BCDE. (b) Define all force vectors found on the free body diagram in component form (î, ĵ, ✩). This includes any reactions, externally applied forces, and the tensions in the cables. (c) Determine the magnitude of the tensions in cables DF, DG, and BA and the reaction forces acting at point E. Z 100 mm F 100 mm 70 mm G E D Ω(Ν) 90 mm B x
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