A circular rigid body with radius r = 2 m is rolling without slipping on a curved surface with radius of curvature ρ in 2D, as shown (not drawn to scale). The angular velocity of the body is 2 r a d / s clockwise and the angular acceleration is 2 r a d / s 2 counterclockwise. Point Q is fixed to the edge of the body and at the current instant is in the position shown. The magnitude of the acceleration of Q is a Q = 14 m/s2.

What is the radius of curvation of the surface?