Design a complete analog system for the following scenario. Draw the required analog circuitry (you can draw the circuit schematics, or block diagrams, or use a combination). You don't have to compute the specific component values, but state what function each block performs (with relevant equations if opplicable) and what the parameters are (or how you would choose them.

You have three piezoelectric force sensors; each of them output a voltage that is a linear function of the force applied. For the first and third sensor, the output voltage varies from 0 to 3 V when 0 to 10 N force is applied. The second sensor produces 5 to 10 V when 0 to 20 N force is applied. When the total force sensed by the first two sensors is more than the force sensed by the third sensor, an LED will light up (with a fixed brightness).

Modify the system in above problem as follows. The LED will light up when the average force sensed by the first two sensors is within t1 N of the force detected by the third sensor.