Whenever 刂 sits on the right edge of a character, expect cutting, separating, or sharp action — it is the knife radical compressed to two strokes so it can hug the right side of a compound. Never written alone; the standalone form is 刀.
history
刂 is the calligraphic vertical of the pictograph 刀 (a curved blade). Pushed against the right side of a host character, the curve straightens into a downward stroke plus a hook — a faster brush gesture that preserves the cutting-edge silhouette.
Highly productive radical. A reliable semantic clue for cutting, dividing, and decisive action: 分, 切, 刻, 剪, 割, 划, 利, 刑. The right-side reduction 刂 dominates in compounds, while the standalone 刀 keeps its full pictographic blade.