Show your work!! A cantilever beam is to be used as a scale. The beam, made of 2024-T4 aluminum, is 21 cm long, 0.4 cm thick, and 2 cm wide. The scale load of between 0 and 200 g is to be concentrated at a point along the beam centerline 20 cm from its fixed end. Strain gauges are to be used to measure beam deflection and mounted to a Wheatstone bridge to provide an electrical signal that is proportional to load. Either 1/4-, 1/2-, or full-bridge gauge arrangements can be used. Design the sensor arrange- ment and its location on the beam. Specify appropriate signal conditioning to excite the bridge and to measure its output on a data acquisition system using a ±5 V, 12-bit A/D converter. Can the system achieve a 4% uncertainty at the design-stage? The following specifications and system choices are stated at the 95% confidence level: Sensors: one, two, or four axial gauges at 120 ± 0.2% (selectable) Gauge factor of 2.0 ± 1% Bridge excitation: 1, 3, 5 V ± 0.5% (selectable) Bridge null: within 5 mV Signal conditioning: Amplifier gain: 1X, 10X, 100X, 1000X±1% (selectable) Low-pass filter: fe at 0.5, 5, 50, 500 Hz @ -12dB/octave (selectable) Data acquisition system: Conversion errors: <0.1% reading Sample rate: 1, 10, 100, 1000 Hz (selectable)