An annular disk of mass \(M\), inner radius \(a\) and outer radius \(b\) is placed on a horizont....

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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 center 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?
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