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PhysicsJEE Main 8 Apr 2026, Shift 2·Q7·MCQ·Moderate

Rotational Motion · Rotational dynamics

A solid cylinder having radius RR and length LL is slipping on a rough horizontal plane. At time t=0t = 0 the cylinder has a translational velocity v0=49v_0 = 49 m/s, perpendicular to its axis and a rotational velocity v0/4Rv_0/4R about the centre. The time taken by the cylinder to start rolling is seconds. (coefficient of kinetic friction μK=0.25\mu_K = 0.25 and g=9.8 m/s2g = 9.8\ \mathrm{m/s^2})
  1. (1)15
  2. (2)5
  3. (3)10
  4. (4)7.5

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