HW_4_Solutions

# HW_4_Solutions - ECE 432 Introduction to MEMS Sunil Bhave...

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Unformatted text preview: ECE 432 Introduction to MEMS Sunil Bhave Homework 4 Solutions Fall 2007 Problem 1a By definition, moment M(x) = Force x Moment Arm = L x x M ) ( ( ) x x dx ' ' Where, dx is the force over a small length dx and (x-x) is the moment arm. ( ) ' ' ) ( dx x x x M L x = = L x xx x x M | ' ' 2 1 ) ( 2 = 2 2 2 2 1 2 1 ) ( x x Lx L x M + = 2 2 2 1 2 1 ) ( x Lx L x M [ ] 2 2 2 2 ) ( x Lx L x M + = ( ) 2 2 ) ( x L x M = Problem 1b ( ) 2 2 ) ( x L x M = 2 2 ) ( ) ( dx x y d EI x M = ( ) 2 2 2 2 ) ( x L EI dx x y d = ( ) 2 2 2 2 2 2 ) ( x Lx L EI dx x y d + = + + = a x L Lx x EI dx x dy 2 2 3 3 1 2 ) ( a dx dy = = ) ( L x + + = b x L Lx x EI x y 2 2 3 4 2 1 3 1 12 1 2 ) ( b y = = ) ( + = 2 2...
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## This homework help was uploaded on 02/22/2008 for the course ECE 4320 taught by Professor Bhave during the Fall '07 term at Cornell University (Engineering School).

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HW_4_Solutions - ECE 432 Introduction to MEMS Sunil Bhave...

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