F=ma 2018 Part B Problem 21

A uniform bar of length L and mass M is supported by a fixed pivot a distance x from its center. The bar is released from rest from a horizontal position. The period of the resulting oscillations is minimal when

Answer Choices
A. x=L / 2
B. x=L / 2 \sqrt{3}
C. x=L / 4
D. x=L / 4 \sqrt{3}
E. x=L / 12