The disk rotates in the horizontal plane with constant angular velocity Ω = 12 rad/s. The...

The disk rotates in the horizontal plane with constant angular velocity Ω = 12 rad/s. The mass m = 2 kg slides in a smooth slot in the disk and is attached to a spring with constant k = 860 N/m. The radial position of the mass when the spring is unstretchcd is r = 0.2 m. At t = 0, the mass is in the position r = 0.4 m and dr/dt = 0. Determine the position r as a function of time.