# Physical Pendulum - II

A rod AB of length $$l=12\sqrt 2$$m whose linear density $$\lambda =\frac { { \lambda }_{ 0 }x }{ l }$$ where $${ \lambda }_{ 0 }$$ is a positive constant and $$x$$ is distance from end A is pivoted at distance $$d$$ from the center of mass of the rod such that end A is above the the point where it is pivoted. Find the value of $$d$$ so that the time period of oscillation is minimum.

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