An annular disk of mass \( M \), inner radius \( a \) and outer radius \( b \) is placed on a horizontal surface with coefficient of friction \( \mu \), as shown in the figure. At some time, an impulse \( J_0 \, \hat{x} \) is applied at a height \( h \) above the centre of the disk. If \( h = h_m \) then the disk rolls without slipping along the x-axis. Which of the following statement(s) is (are) correct?
