Question: The space truss shown in ( Figure 1 ) is supported by ball - andsocket joints at ( A , B , C

The space truss shown in (Figure 1) is supported by ball-andsocket joints at \( A, B, C \), and \( D \). Suppose that \( F_{1}=4\mathrm{kN}\) and \( F_{2}=7\mathrm{kN}\).
Figure
Part A
Determine the force in member \( G C \) of the truss and state if the member is in tension or compression.
Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension.
\[
F_{G C}=
\]
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Part B
Determine the force in member \( G D \) of the truss and state if the member is in tension or compression.
Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension.
\[
F_{G D}=
\]
Part C
The space truss shown in ( Figure 1 ) is

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