Beam equilibrium requires force and torque balance, but key details are missing

Steps:

• Resolve force F into components: vertical F cos 60° = 0.5F upward, horizontal F sin 60° ≈ 0.866F.
• For vertical equilibrium, support reaction vertical component R_v = weight W - 0.5F.
• For horizontal equilibrium, support provides horizontal component ≈ -0.866F (if pin support).
• Total force at S is sqrt(R_v² + (0.866F)²), but W and positions of S/rope undefined.

Not enough information: Positions of S and rope attachment relative to beam length/center of mass needed to find W in terms of F via torque balance.

Final answer: Not enough information.