The coefficient of static friction between a small block and the surface of a horizontal turntable is 0.09 . The block is placed at a distance of 0.1 m from the centre of the turntable. At time $t=0$ s the turntable starts rotating from rest with a constant angular acceleration of $0.5 \mathrm{rad} \cdot \mathrm{s}^{-2}$. The time at which the block starts sliding is $t_s$. Select the correct statement(s).

• A

  The angle between the net linear acceleration and radial vector is $\pi / 4$ radians.
• Correct answer
  B

  $t_s$ is 6 s
• C

  At $t_s$ the angular speed of the turntable is $6 \mathrm{rad} \cdot \mathrm{s}^{-1}$.
• Correct answer
  D

  The turntable has rotated through 9 radians.

Hence, the correct answer is options: 'B', 'D'.