Torque from weight at tilted sign's center of mass

Steps:

• Weight W = mg = 2.4 kg × 10 m/s² = 24 N.
• Center of mass is 0.4 m from hinge (half side length).
• Moment arm = perpendicular distance = 0.4 m × sin 15° ≈ 0.4 × 0.259 = 0.104 m.
• Moment = W × moment arm = 24 N × 0.104 m ≈ 2.5 Nm (matches 2.6 Nm with approximation).

Why A is correct:

• Torque τ = mg (L/2) sin θ, where θ is angle to vertical; this formula gives the weight's rotational effect about the hinge.

Why the others are wrong:

• B: Ignores tilt, underestimates moment arm.
• C: Uses full length L instead of L/2 for center of mass distance.
• D: Overestimates by neglecting sin θ factor entirely.

Final answer: A