Hello, I just want to make sure I am understanding how to define degrees of freedom of an object. If you have a rolling ball moving strictly in the x-direction, it has two degrees of freedom: one from its rotation, and one from its translation? Or is it just one DoF because its translation is proportional to the angle of rotation (x = RΘ)? Also a hanging mass on a spring only has one degree of freedom because it can only translate in the y-direction? Thanks!