Pin \Rho is constrained to move along the curve defined by the lemniscate r = (4\sin { 2\theta } ) ft . If the slotted arm OA rotates counterclockwise with a constant angular velocity of \dot { \theta } = 1.5 rad/s , determine the magnitudes of the velocity and acceleration of peg \Rho when \dot { \theta } = 60° .