Providing constant counterbalance throughout predetermined range of motion

1. An apparatus comprising:

a display;

a lever arm, wherein a first end of the lever arm is coupled to a pivot point and wherein a second end of the lever arm is coupled to the display at a lever arm length from the pivot point, the display rotating around the second end of the lever arm, and the lever arm rotating around the pivot point through a lever arm range of motion, the weight of the display producing a display torque around the pivot point that varies as the lever arm rotates through the lever arm range of motion;

a spring coupled to the lever arm using a cable, the spring producing a spring torque, through the lever arm, around the pivot point that is equally opposite of the display torque throughout the lever arm range of motion as the lever arm travels through the lever arm range of motion; and

a pulley that guides the cable between the spring and the lever arm, wherein a point on the pulley that contacts the cable is at the lever arm length from the pivot point.

2. The apparatus of claim 1 wherein both the spring torque and the display torque vary based upon a rotation angle that corresponds to the lever arm range of motion.

3. The apparatus of claim 2 wherein the rotation angle varies from 0 degrees to 180 degrees.

4. The apparatus of claim 1 wherein the display torque varies non-linearly throughout the lever arm range of motion.

5. The apparatus of claim 1 wherein the display torque equals the lever arm length multiplied by a vertical force of the display multiplied by sine of the rotation angle.

6. The apparatus of claim 1 wherein the spring torque equals the lever arm length multiplied by the force of the spring multiplied by cosine of one-half of the rotation angle.