Which of the following statements is incorrect for a spherical body rolling without slipping on a rough horizontal ground at rest?

  • A
    The acceleration of a point in contact with the ground is zero.
  • B
    The acceleration of $C.O.M.$ of the sphere may or may not be zero.
  • C
    Friction force may or may not be zero.
  • D
    Work done by friction with respect to the ground on the body is zero.

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$A$ 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 $v_0 = 49 \text{ m/s}$,perpendicular to its axis and a rotational velocity $v_0/4R$ about the centre. The time taken by the cylinder to start rolling is . . . . . . seconds. (coefficient of kinetic friction $\mu_K = 0.25$ and $g = 9.8 \text{ m/s}^2$)

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$A$ heavy solid sphere is thrown on a horizontal rough surface with initial velocity $u$ without rolling. What will be its speed when it starts pure rolling motion?

$A$ wheel is rolling along the ground with a speed of $2\ m/s$. The magnitude of the velocity of the points at the extremities of the horizontal diameter of the wheel is equal to:

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