$A$ non uniform rod $OA$ of linear mass density $\lambda = \lambda_0x$ $(\lambda_0 =$ const.) is suspended from ceiling with hinge joint $O$ & light string as shown in figure. Find the angular acceleration of rod just after the string is cut.

806-503

  • A

    $\frac{{2g}}{L}$

  • B

    $\frac{{g}}{L}$

  • C

    $\frac{{4g}}{{3L}}$

  • D

    none of these

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