(Solved):   Consider the truss shown in the figure, built from three struts attached by three pins. Th ...

 

Consider the truss shown in the figure, built from three struts attached by three pins. The truss supports a downward force of \( \overrightarrow{\mathbf{F}}=1,100 \mathrm{~N} \) applied at the point \( B \). Assume the mass of the truss is negligible, the pins are frictionless, and the supports at \( A \) and \( C \) are also frictionless. (i) (a) Assuming \( \theta_{1}=25.5^{\circ} \) and \( \theta_{2}=50.0^{\circ} \), what are \( n_{A} \) and \( n_{C} \) ? (Enter the magnitudes in \( N \).) (b) The force any strut applies on a pin must be directed along the length of the strut as a force of tension or compression. What are the directions of the forces that the struts exert on the pins joining them? \begin{tabular}{l|l} strut \( A B \) on joint \( A: \) & along \( A B \) from \( B \) to \( A \) \\ strut \( A B \) on joint \( B: \) & along \( A B \) from \( A \) to \( B \) \\ strut \( B C \) on joint \( B: \) & along \( B C \) from \( C \) to \( B \) \\ \( \operatorname{strut} B C \) on joint \( C: \) & along \( B C \) from \( B \) to \( C \) \\ strut \( A C \) on joint \( A: \) & along \( A C \) from \( A \) to \( C \) \\ strut \( A C \) on joint \( C: \) & along \( A C \) from \( C \) to \( A \) \end{tabular} Find the force of tension or of compression (in N) in each of the three struts. \( \operatorname{bar} A B \) \( \operatorname{bar} B C \quad \mathrm{~N} \) \( \operatorname{bar} A C \)