The uniform slender rod of length 2b is supported in the horizontal plane by a bifilar s...

The uniform slender rod of length 2b is supported in the horizontal plane by a bifilar suspension. The rod is set into small angular oscillation about the vertical axis through its center O. Derive the expression for the period of oscillation. (Hint: From the auxiliary sketch note that the rod rises a distance h corresponding to an angular twist θ. Also note that for small angles and that may be replaced by the first two terms of its series expansion. A simple harmonic solution of the form may be used for small angles.)