Silly rods

The figure below shows a non uniform metre stick AB having the linear mass density variation λ=λox\lambda=\lambda_{o}x where λo\lambda_{o} is a constant and xx is the distance from end AA, placed on smooth horizontal surface.

In the first experiment, the rod is pivoted at AA and force FF is applied perpendicular to the rod at the other end BB and in the second experiment, the rod is pivoted at BB and the force is applied perpendicular to the rod at the end AA.

If in the first case angular acceleration is αA\alpha_{A} and in the second case it is αB\alpha_{B} then

Refer to my set

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