Figure is an overhead view of a thin uniform rod of length 0.600 m and mass M rotating horizontally at 80.0 rad/s counterclockwise about an axis through its center. A particle of mass M/3.00 and traveling horizontally at speed 40.0 m/s hits the rod and sticks. The particle's path is perpendicular to the rod at the instant of the hit, at a distance d from the rod's center.(a) At what value of d are rod and particle stationary after the hit?(b) In which direction do rod and particle rotate if d is greater than thisvalue?

Particle Rotation axis Particle