Force equilibrium at joint Y Steps:

• Weight of 75 N acts vertically downward at Y.
• Vertical equilibrium at Y requires vertical component of tension T in YZ to balance weight: T sin 30° = 75 N, so T = 150 N.
• Horizontal equilibrium at Y requires horizontal component of T to equal compressive force F in XY: F = T cos 30° = 150 × (√3/2) = 130 N.
• For massless XY, wall exerts horizontal force of 130 N on XY at X to maintain equilibrium.

Why C is correct:

• Horizontal force on XY equals horizontal component of tension in YZ, from force equilibrium along the rod's axis (Newton's third law).

Why the others are wrong:

• A: Ignores horizontal component from inclined YZ.
• B: Equals 75 tan 30° (≈43 N), confusing vertical force resolution.
• D: Tension magnitude in YZ, not horizontal component.

Final answer: C