#### Since the angular velocities of both the masses are constant, their linear velocities would also remain constant using the relation v=rω.

Thus at each point their velocities change only in direction. Thus the momentum of particle A is PA=mAvA i.e. 2×2=4kgm/s and that of B is PB=mBvB i.e. 1×3=3kgm/s.

We will get their momentum as a maximum when the particles travel parallel to each other in the same direction.

Thus we get the maximum value of their momentum simply as the sum of their individual momentums i.e. |PA+PB|=4−3=1kgm/s at all points.