Lag1989 task №5.43

A horizontally located disk rotates with a constant angular velocity w around a vertical axis passing through its center. A particle moves uniformly along the disk at a constant distance from the axis of rotation. Determine the instantaneous values ​​of the velocity V relative to the disk at which the Coriolis force will be balanced by the centrifugal force of inertia. Express V through r - the instantaneous values ​​of the radius vector drawn to the particle from the center of the disk.