Final answer:
To solve this problem, we can apply the principles of equilibrium and Newton's second law of motion. By using the equilibrium equations, Newton's laws of motion, and the tension force equations,.The correct option is: **a. Apply the equilibrium equations**
Step-by-step explanation:
To solve this problem, we can use the principles of equilibrium and Newton's second law of motion. The boom is in equilibrium when the sum of the forces and torques acting on it is zero.
Next, we can use Newton's second law of motion to analyze the forces on the boom. We can write the sum of the forces in the x-direction as T2 + T3 = 0. Since the boom is not accelerating, the net force must be zero.
Finally, we can employ the tension force equations to relate the tensions in the cables to the forces and angles involved. These equations can help us determine the specific values of T1, T2, and T3.The correct option is: **a. Apply the equilibrium equations**