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The force measurement system uses 4 strain gauges to measure mechanical strain on a horizontal cantilever beam. Strain gauges RsG1 and Rsc2 are used

The force measurement system uses 4 strain gauges to measure mechanical strain on a horizontal cantilever        

The force measurement system uses 4 strain gauges to measure mechanical strain on a horizontal cantilever beam. Strain gauges RsG1 and Rsc2 are used to measure mechanical strain, while the other two strain gauges, RsG3 and Rs4, are used for temperature compensation. Then, all strain gauges are arranged as a Wheatstone bridge circuit. It is found during calibration at 20C that each strain gauge has a resistance of 380 2. Suppose force (F) of 20 N implies a change as much as 0.05 while a 30C temperature increment causes an resistance increment as much as 0.002 2. a. The force F is applied perpendicular (vertical) to the cantilever beam at its free end. Draw the location of RSG1, RsGz, RsG3, and RsG4 on the cantilever beam so it has twice the sensitivity to measure mechanical strain. b. At the temperature of 20C and working force F of 100 N perpendicular to the cantilever beam, what is the resistance value of RsG1, RSG2, RSG3, and RSG4? c. If the temperature becomes 50C, what is the resistance value of RsG1, Rsc2, RsG3, and RsG4? d. Based on your answer, where do we have to place each of the four strain gauges in the Wheatstone bridge so that Vout is proportional to (AR/Ro)? Explain why you choose such an arrangement!

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