Look Ma, We're Flying!

     Sally Stoutheart and her cat, Shivers, have just become airborne thanks to the lift from some helium-filled balloons. 

     Sally, who weighs 400 N, is sitting 2 m from the left end of the 6-m pole. Shivers weighs 100 N and is sitting in the middle (3 m from either end). The pole weighs 500 N and its center of gravity is 2 m from the right end. 

     Assume the balloons are attached to the ends of the pole and that Sally and her crew are not accelerating. How much lift are the balloons providing at each end?

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