(Solved): Problem 1 (20 points) Three forces act on the frame as shown in the figure. \( A \) is fixed and \( ...

Problem 1 (20 points) Three forces act on the frame as shown in the figure. \( A \) is fixed and \( D \) is pin-supported. The masses of all members are negligible. (a) Draw three separate free body diagrams for members \( A B \), \( B C \) and \( C D \). (b) Write down equations-of-equilibrium for each free body diagram. (c) Find the reactions at supports \( A \) and \( D \), the forces exerted on member \( A B \) at pin \( B \), and the forces exerted on member \( B C \) at pin \( C \). Express all the answers in Cartesian vector form.