1. The problem statement, all variables and given/known data i have a hw set to determine the degrees of freedom for certain objects. the professor never explained how to go about figuring these out and the book doesn't quite explain it well. two problems from the set are 1. a linear spring in 3space and 2. a bead constrained to move on a helix of constant pitch and constant radius a third problem which i have no idea about is a compound pendulum and how many dof it has. 2. Relevant equations equipartition of energy. 3. The attempt at a solution i know there are 3 dof(degrees of freedom) for translational and rotational motions. so a total of 6. for the linear spring im thinking that there has to be 3 plus 2 rotational because it is a linear object so total of 5. for the bead i think it might be 4 since both pitch and radius are constant. for compound pendulum, since each pendulum is only able to move up and down,left to right, than 2dof per each so a total of 4. i do know there can be more then 6 dof depending on the objects or even molecules you might be dealing with. just looking for some clarification on how to think about these problems versus me just making an educated guess and not truly know why. thanks for any help.