Kinematic Diagrams & Degrees of Freedom in Powerpoint Presentations 606 1 Posted December 19, 2014 · Report reply Overall, this is an interesting presentation. There is one significant problem that I see, however. In the discussion on the number of degrees of freedom a body has, it confuses the specific coordinates used to describe the configuration with the degrees of freedom themselves. The distinction is sometimes subtle, but it is important. Take a very simple example. Consider a point in a plane. How many degrees of freedom does the point have? We can describe the position completely by giving the cartesian coordinate of the point: (x,y). We can also describe the position completely by giving the polar coordinates of the point (r,theta). There are other possibilities (a bit more obscure), but the point is this: The point has 2DOF because in every case, two coordinates are sufficient to completely describe its position. The DOF are not x and y, nor are they r and theta. Degrees of freedom are not associated with specific coordinates, although we may choose to describe a degree of freedom by a particular choice of coordinate. This is a fine distinction, but it can be important.