How Does a Rod's Angular Velocity Relate to Its Movement in the X-Y Plane?

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Homework Statement



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.
 
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