Final answer:
The correct tension in the rope is 260N, which is not listed among the options, because it is the sum of the beam's weight and the additional weight. The reaction force on the wall is 60N, equal to the beam's weight alone.
Step-by-step explanation:
To determine the tension (T) in the supported rope and the reaction force on the wall, we start by analyzing the forces in play. The total downward force on the system consists of the uniform weight of the beam and the additional weight (W). The tension in the rope must counteract these forces for the system to be in equilibrium. According to Newton's second law, if the beam is stationary, the sum of the forces equals zero (Fnet = T - (beam weight + W) = 0).
Summing up the forces, we get T = beam weight + W. Substituting the given values:
- T = 60N (beam weight) + 200N (W) = 260N
The reaction force on the wall supports the beam and must be equal to the beam's uniform weight, because it is the only vertical force acting upward.
Therefore, the correct answer is not listed in the provided options, as the correct tension (T) should be 260N, and the reaction force on the wall should be equal to the beam's weight, which is 60N.