1. The problem statement, all variables and given/known data I really didn't plan to post this in hopes of finding a particular solution, but rather to learn what to do if a problem contains a pulley, a tension and a rope with mass, or any problem that had mass of rope and a tension. My professor and I tried working out this problem, but we couldn't find a way to do it. My professor told me that if the rope had mass, then the tension would increase as the distance from the object that is creating tension increases. So, the question is How do you calculate tension if there is mass in a rope? 2. Relevant equations F=ma T=f(y)= mg + (MsubscriptR times g/maximum length) times y *where y=length from mass creating the tension in the first place. M d^2y/dt^2 = mg = P(density(rho)) times y times Area times g where y=f(t) and m=pyA which means there is a second differential equation involved and my professor couldn't figure it out but guessed that it may have been y=(e^c't) + c'' 3. The attempt at a solution The relevent equations are what my professor gave me. I am a little confused as to how the equations connect and where to go next. By the way, I don't really need to know this, but I am highly curious to know how to calculate tension if mass of rope exists. I would also like help in understanding how this relates to masses at the molecular level.