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Problem 5 (20 points) The geometry of a piezoelectric stack with circular cross section is shown Displacement amplification in Fig.2. The stack is used in lever-arm conjunction with displacement amplification mechanism as shown. Compute the stiffness, free displacement, and blocked force of the stack assuming that diameter of Y the stack is 5 mm, the thickness of each layer is 2 mm, number of layers Y. is 13, and the applied voltage is 300 77 V. Assume the material properties of APC 856. Determine the maximum PZT stack transducer displacement of the lever arm or the Figure 2 maximum angle the lever arm moves. Show your computation clearly. Here, yı=0.5 mm, y2=3.5 mm, y3 = 7mm and Li= 16 mm. If no further information is provided, make a valid assumption, and solve the problem. Use Table 4.1 from the book or lecture note for Piezo material data. Y2