### What is the tension in cable on counterweight side of pulley

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Q. A 2.25×10^4 elevator is to be accelerated upward by connecting it to a counterweight using a light (but strong!) cable passing over a solid uniform disk-shaped pulley. There is no appreciable friction at the axle of the pulley, other than its mass is 850 and it is 1.5 in diameter.

1) How heavy should the counterweight be so that it will accelerate the elevator upward through 6.50 in the first 4, starting from rest?

2) Under these conditions, what is the tension in the cable on elevator side of pulley?

3) Under these conditions, what is the tension in the cable on counterweight side of pulley?

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