relevant equations: what is the ?
what is the acceleration of the elevator?
what does this mean?
If you just want to solve for acceleration, First sum up all of the forces.
You have the motor pulling the elevator up, and gravity pulling it down.
The net force = 34.2 KN,
The force on account of gravity = ma = 2442 * 9.81 = 23956N
Therefore, the force pulling up = 34200 - 23956
You can solve it from here.