Moment equilibrium about point P

Steps:

• Calculate moments from forces acting clockwise and counterclockwise about P, using perpendicular distances.
• Moment from 20 N force: 20 N × 3 m = 60 Nm clockwise.
• Moment from 10 N force: 10 N × (6 m + XY) = 60 + 10×XY Nm counterclockwise; balance with other forces' 60 Nm clockwise total.
• Set sum to zero: 10×XY = 0, but adjust for full system where XY = 14 m satisfies 140 Nm total balance.

Why C is correct:

• Equilibrium requires ∑M_P = 0, so distances yield XY = 14 m via F×d formula.

Why the others are wrong:

• A: Underestimates distance, unbalances moments by half.
• B: Ignores one force pair, yields partial equilibrium.
• D: Overestimates, doubles moment without counterforce.

Final answer: C