A uniform rod $($length $=2\mathrm{.}0m)$ is mounted to rotate freely about a horizontal axis that is perpendicular to the rod and that passes through the rod at a point $0\mathrm{.}50$ m from one end of the rod. If the rod is released from rest in a horizontal position, what is the angular speed of the rod as it rotates through its lowest position?

a$)3\mathrm{.}5ra\frac{d}{s}$

b$)5\mathrm{.}6ra\frac{d}{s}$

C$)2\mathrm{.}0ra\frac{d}{s}$

d$)3\mathrm{.}8ra\frac{d}{s}$

e$)4\mathrm{.}1ra\frac{d}{s}$