JEE Main 2026 Physics question
A solid cylinder having radius R and length L is slipping on a rough horizontal plane. At time t = 0 the cylinder has a translational velocity v₀ = 49 m/s, perpendicular to its axis and a rotational velocity v₀/4R about the centre. The time taken by the cylinder to start rolling is seconds. (coefficient of kinetic friction μ_K = 0.25 and g = 9.8 m/s²)
Answer: (B)
Solution
Friction f=μmg decelerates the translation: v=v₀−μgt. Its torque gives α=fR/(½mR²)=2μg/R, so
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