A rod AB of length 2m moves in horizontal x-y plane. at any instant end A of rod is at origin and has velocity v_a =2i +v_y j. the other end B at the same instant is moving with velocity v_b = 2i +6j. the rod makes an angle of 30 degrees with the x-axis at this instant. find:
1. the magnitude of angular velocity of the rod.
2. value of v_y .
3. the component of velocity of cetre of mass in the direction perpendicular to the rod at given instant.