A 2.25×104 N elevator is to be accelerated upward by connecting it to a counterweight using alight (but strong!) cable passing over a solid uniform disk-shaped pulley. There is no appreciable friction at the axle of the pulley, but its mass is 875 kilogram and it is 1.50 meter in diameter.
1. Determine how heavy should the counterweight be therefore that it will accelerate the elevator upward through 6.75 meter in the first 3.00s, starting from rest?
2. Under these conditions, calculate the tension in the cable on elevator side of the pulley?
3. Under these conditions, find the tension in the cable on counter weight side of the pulley?