The diagram is an overhead view of a uniform rod with total length L = 0.6 m and mass M rotating at ω = 80 rad/s (into the page) about an axis passing through the CM. A particle with mass M/3 is moving upward at Vp = 50 m/s when it collides and sticks to the rod. At the moment it hits, the particle is moving perpendicular to the rod as shown. If the rod and particle are stationary after the collision, what is the distance d where the particle hit, relative to the rod's CM?