How many Translational and how many Rotational DOFs are in t

How many Translational and how many Rotational DOF(s) are in this system? (Total #DOF = #TransDOF + #RotDOF)

A rigid rod of mass Mis fixed to a massless ring at point A. Point A is constrained to move on the fixed, frictionless circular track centered at point C and of radius R. The system moves on a smooth, horizontal surface.

Solution

Rod can move in +ve x and -ve x direction as well in y directions. so number of translational DOF=4,

Rod can rotate in clockwise as well as in counterclockwise., so total Rotational DOF= 2.