3. You are needing a force transducer for an experiment you are performing. To make your transducer, you have a rectangular bar that is 8 mm in width and depth (i.e., it has a square cross section) that is made from steel (Young's modulus of elasticity ). You also have a displacement transducer that can measure displacements in the range of mm. Answer the following questions: a. What is the largest force you can measure using this rectangular piece of steel, considering that you don't want to exceed 50% of the yield strength (i.e., maximum stress) of 250 MPa? b. You want a transducer that can measure forces applied in one direction only. What length of bar should you use so that you can measure a compressive load of 5 kN with maximum resolution? For this problem, assume you have maximum resolution if 5 kN of applied force causes deformation of 1.5 mm.