What is the Tension in a Rope with Unequal Bucket Weights?

[frownifdown]

Two buckets of sand hand from opposite ends of a rope that passes over an ideal pulley. One bucket is full and weighs 118 N; the other is only partly filled and weighs 58 N. After the buckets are released and allowed to move what is the tension in the rope



I drew a force diagram but all I have are the two forces that are given to me. I'm not sure what other forces I need to put into solve this.

 

[phinds]

(1) use the template
(2) show your work

 

[Panphobia]

Sum all forces in the y direction on your FBD(more than just 118 and 58). Just to be clear do you know what 118N and 58N are forces of? You will need to know this.

 

[Chestermiller]

Call T the tension in the rope, and do a free body diagram on each of the buckets, along with a vertical 2nd law force balance on each of the buckets. Eliminate T between the two force balances. How are the accelerations of the two buckets related?