A particle P of mass m is attached to a vertical axis by two strings AP and BP of length l each. The separation AB = l. P rotates around the axis with an angular velocity ω. The tensions in the two strings are T₁ and T₂

Question

G1 Physics · Accepted Answer

The two strings make 60° with the vertical axis geometry. Vertical balance gives T₁-T₂=2mg, while radial balance gives T₁+T₂=mω²ℓ. For T₂≥0, mω²ℓ≥2mg, so ω≥√(2g/ℓ). Hence B,C,D.