# Physical Pendulum - II

**Classical Mechanics**Level 5

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.