Find the internal forces trod and tspring consider the

Question

Please solve each question with clear step-wise presentation, and in Q1 please follow the hint instructions. Thanks in advance.

The unextendable 2-ft rod AB and a spring AC of spring constant k at its unstretched length Lo are connected at A, which is originally at the horizontal position. A vertical load P is applied at A and A moves down to A* to the equilibrium position with the angles of e and a. Assume that the internal forces in the rod and the spring are denoted by T_rod and T_sprin. Take

Q1: Find the internal forces T_rod and T_spring (Hint: Consider the equilibrium of point A*. Follow the 3-step procedure of drawing FBD, listing equations, and finding the solution)

Q2: Find the extension of the spring.

Q3: Find the spring constant k.