A collar of mass m slides along a circular track of radius R in the horizontal plane, as shown in the figure. Attached to the collar is a linear...

 A collar of mass m slides along a circular track of radius R in the horizontal plane, as shown in the figure. Attached to the collar is a linear spring with stiffness K and unstretched length R . The spring is attached at the fixed point A located a distance 2R from the center of the circle. There is also a damping force opposing the motion of the collar proportional to the velocity with a constant damping coefficient c .