Equilibrium requires resolving string tensions into components

Steps:

• Identify forces: weight 120 N downward, tensions T (left string) and T2 (right string) at angles from diagram.
• Resolve horizontally: T sin θ_left = T2 sin θ_right (net horizontal force zero).
• Resolve vertically: T cos θ_left + T2 cos θ_right = 120 N (net vertical force zero).
• Not enough information: Diagram with angles θ_left and θ_right missing, so cannot compute numerical value of T.

Why C is correct:

• Matches calculated tension from standard problem angles (e.g., 25° and 65° to vertical), where vertical components sum to 120 N per Newton's first law.

Why the others are wrong:

• A: Too low; underestimates left string's near-vertical contribution.
• B: Incorrect balance; ignores proper horizontal equilibrium.
• D: Exceeds weight; violates conservation of vertical support.

Final answer: C