Show me the steps to solve A rectangular plate swings from arms of equal length as shown

below. What is the magnitude of the angular velocity of the

plate?

$($a$)0ra\frac{d}{s}$

$($b$)1ra\frac{d}{s}$

$($c$)2ra\frac{d}{s}$

$($d$)3ra\frac{d}{s}$

$($e$)$ Need to know the location of the center of gravity