The natural frequency () of a piezoelectric cantilever beam is described by the followingequation:1 3EIf =2n V mLwhere E = Modulus of elasticity, / = Area moment of inertia, L = Length of cantilever beam,and m = Mass of proof mass (or end mass). The area moment of inertia for an arbitrary shapeR with respect to an arbitrary axis (for example, x-axis) is related by:!, = [[ v² dx dy.R(a) What is the dimension of area moment of inertia?(b) If the thickness of a piezoelectric cantilever beam increases, does the natural frequencyincrease or decrease?(c) Both the thickness and width of a piezoelectric cantilever beam can change the naturalfrequency. Which parameter (thickness or width) will lead to the natural frequency changemore significantly? Briefly explain your answer.

Answered: Image /qna-images/answer/3415adb3-44df-47bf-92fb-127566bd0fd2.jpg

(a) What is the dimension of area moment of inertia? (b) If the thickness of a piezoelectric cantilever beam increases, does the natural frequency increase or decrease? (c) Both the thickness and width of a piezoelectric cantilever beam can change the natural frequency. Which parameter (thickness or width) will lead to the natural frequency change more significantly? Briefly explain your answer.

(a) What is the dimension of area moment of inertia? (b) If the thickness of a piezoelectric cantilever beam increases, does the natural frequency increase or decrease? (c) Both the thickness and width of a piezoelectric cantilever beam can change the natural frequency. Which parameter (thickness or width) will lead to the natural frequency change more significantly? Briefly explain your answer.

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Energy Of A System

Section: Chapter Questions

Problem 15P: A small particle of mass m is pulled to the top of a friction less half-cylinder (of radius R) by a...

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