Question 2a The given figure shows a statically determinate truss. This type of structure can be described as a system of coupled linear algebraic equations by developing free-body force diagrams for the forces at each node in the given figure. The sum of the forces in both the horizontal and the vertical directions must be zero at each node because the system is at rest Therefore, for node 1 For node 2 For node 3 For node 4 Note that the directions of the internal forces and reactions are unknown. The proper application of Newton's lews requires only consistent assumptions regarding direction. Solutions are negative if the directions are assumed incorrectly. Also note that in this problem, the forces in all members are assumed to be in tension and act to pull adjoining nodes together. A negative solution therefore corresponds to compression. When the external forces are substituted and the trigonometric functions are evalueted, this problem reduces to a set of six linear algebreic equations with six unknowns 600 1200 45 45 30 500 Compute the forces and reactions for the members and supports for the truss depicted in the given figure.(Round the final answers to three decimal places.) Label the figure with the appropriate node numbers and truss forces according to the equations above Use Matlab or hand calculations to find the values for the unknowns: F1, F2, F3, F4, F5, H2, V2 & V3 Ensure matrix values contain the correct sign for each value