Essentials Of Materials Science And Engineering, Si Edition
Essentials Of Materials Science And Engineering, Si Edition
4th Edition
ISBN: 9781337629157
Author: Donald R. Askeland, Wendelin J. Wright
Publisher: Cengage Learning
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Chapter 6, Problem 6.77P
Interpretation Introduction

Interpretation:

A specific application in which a proper understanding of size-dependent mechanical behavior is important to the design process needs to be be explained.

Concept introduction:

Nano-polymer application and microelectronic industry are the two specific application in which a proper understanding of size-dependent mechanical behavior may important to the design process.

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The question was to obtain the Fourier series for the periodic function f(x)= -2 when -π
Consider the homogeneous RLC circuit (no voltage source) shown in the diagram below. Before the switch is closed, the capacitor has an initial charge go and the circuit has an initial current go. R w i(t) q(t) C н After the switches closes, current flows through the circuit and the capacitor begins to discharge. The equation that describes the total voltage in the loop comes from Kirchoff's voltage law: di(t) L + Ri(t) + (t) = 0, dt (1) where i(t) and q(t) are the current and capacitor charge as a function of time, L is the inductance, R is the resistance, and C is the capacitance. Using the fact that the current equals the rate of change of the capacitor charge, and dividing by L, we can write the following homogeneous (no input source) differential equation for the charge on the capacitor: ä(t)+2ag(t)+wg(t) = 0, (2) where R a 2L and w₁ = C LC The solution to this second order linear differential equation can be written as: where 81= q(t) = Ae³¹- Bel 82 = (3) (4) (5)
HistogramUse par(mfrow=c(2,2)) and output 4 plots with different argument settings.

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Essentials Of Materials Science And Engineering, Si Edition

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