Solving Rotating Frame Problem: Need Help!

[aditya~]

i am facing problem in attempting the peoblem attached below

if i work in the non inertial frame (the rotating)

shouldn't the acceleration of m_a after the catch is removed

be simply =$$\omega$$²r_a

thanks in advance

 

[willem2]

The masses are connected with a rope. The centrifugal forces on them work in opposite direction. If $m_a = m_b$ and $l = 2 r_a$ The acceleration is obviously 0.