& Touch detector You have two force sensors connected to a computer and a meter stick of known mass. The sensors are used to keep the stick horizontal; there are no other supports. You push on the stick with your finger in an arbitrary location. (a) Design an experimental setup that will allow you to determine the magnitude of your pushing force F and the location of your finger x based on the readings of the two force sensors. (b) Derive an expression that can be used as a computer algorithm to calculate x and F using the readings of the force sensors and the parameters of your setup. (c) Evaluate the expression, analyzing the limiting cases.
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