Demonstrate that in the reference frame rotating with a constant angular velocity about a stationary axis a

Question:

Demonstrate that in the reference frame rotating with a constant angular velocity ω about a stationary axis a body of mass m experiences the resultant
(a) Centrifugal force of inertia Fef = mω2Rc, where Rc is the radius vector of the body's centre of inertia relative to the rotation axis;
(b) Coriolis force Fcor= 2m [vcω], where vc is the velocity of the body's centre of inertia in the rotating reference frame.