Two particles A and B are revolving with constant angular velocity on two concentric circles of radius 1m and 2m respectively as shown in figure. The positions of the particles at t = 0 are shown in figure. The positions of the particles at t=0 are shown in figure. if `m_(A)=2kg, m_(B)= 1kg` and `vec(P)_(A)` and `vec(P)_(B)` are linear momentum of the particle then what is the maximum value of `|vec(P)_(A)+vec(P)_(B)|` in kg-m/sec in subsequent motion of two particles.

Explanation

Since angular velocities of the particles are different, after some time, two particle may move parallel. In such case `|vec(P)_(A)+vec(P)_(B)|` is maximum
`|vec(P)_(A)+vec(P)_(B)|_("max")=(2xx2+1xx3) kgm//s=7 kg m//s`