I have been trying to find the relationship between the accelerations in a pulley system. My book doesn't explain it. My first question: Which object moves faster, the one attached to the pulley or the other? I'm guessing the one that isn't attached to the pulley. My second question: Does the relationship between the accelerations can be found by looking at the forces? For example, the tension on object one is twice the tension in object two. Does this mean the acceleration of one is the double of the acceleration of two? My prof did explain it, but I didn't understand. He used derivatives of the length of the rope between the pulleys. Can anyone explain this method? I'm not asking for straight answers, more for some guidance. Sorry for not using the template, it didn't fit my question since it isn't a specific problem. Thanks!