Log in
Physics
0
answers
0
watching
81
views
23 Nov 2019

7.8.11a, b, 14 a, b
Sketch several periods of the following functions and expand themin both sine-cosine and complex forms of the Fourier Series.
(a) f(x)=x2, -p<x<p (b) f(x)=x2, 0<x<2p
(c) f(x)=sinpx, -1 <x<1 22
(d) f(x)=sinpx, 0<x<1

Watch
0
answers
0
watching
81
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

<p>A block having mass m and charge +Q is connected to aninsulating spring having a force constant k. The block lies on africtionless, insulating, horizontal track, and the system isimmersed in a uniform electric field of magnitude E directed asshown in the figure below. The block is released from rest when thespring is unstretched (at x = 0). We wish to show that the ensuingmotion of the block is simple harmonic. <br /><br/>http://www.webassign.net/serpse8/25-p-008.gif<br/><br />(b) What kinds of potential energy exist withinthis system? (Select all that apply.)<br />kinetic energy<br />gravitational potential energy <br />elasticpotential energy <br />electrical potential energy<br/><br />c) Consider the instant the block is released fromrest to be the initial configuration of the system. The finalconfiguration is when the block momentarily comes to rest again.What is the value of x when the block comes to rest momentarily?(Use any variable or symbol stated above along with the followingas necessary: &#960;.)<br /><br />x=<br/><br />d)What is the value of x<sub>0</sub>?(Use any variable or symbol stated above along with the followingas necessary: &#960;.)</p>
<p>x<sub>0=</sub></p>
<p>e) Define a new coordinate system <em>x</em>'such that <em>x</em>' = <em>x</em>&#8722; <em>x</em><sub>0</sub>. Showthat <em>x</em>' satisfies a differential equation forsimple harmonic motion.</p>
<p>f) Find the period of the simple harmonic motion. (Use anyvariable or symbol stated above along with the following asnecessary: <span style="font-family:georgia;"><em>&#960;</em></span>.)</p>
<p>T=</p>
<p>g) How does the period depend on the electric fieldmagnitude?</p>

<p>The magnitude of the velocity of a projectile when it is at its maximum height above ground level is 19 m/s. <strong>(a)</strong> What is the magnitude of the velocity of the projectile 1.0 s before it achieves its maximum height? <strong>(b)</strong> What is the magnitude of the velocity of the projectile 1.0 s after it achieves its maximum height? If we take <em>x</em> = 0 and <em>y</em> = 0 to be at the point of maximum height and positive <em>x</em> to be in the direction of the velocity there, what are the <strong>(c)</strong><em>x</em> coordinate and <strong>(d)</strong><em>y</em> coordinate of the projectile 1.0 s before it reaches its maximum height and the <strong>(e)</strong><em>x</em> coordinate and <strong>(f)</strong><em>y</em> coordinate 1.0 s after it reaches its maximum height?</p>

<p>At time <em>t</em> = 0, a particle has acharge of <span style="color: red;">11</span>&#181;C, is located in the <em>z</em> = 0 plane at<em>x</em> = 0, <em>y</em> = <spanstyle="color: red;">1.9</span> m, and has a velocity equalto <span style="color: red;">28</span> m/s <imgtitle="ihatbold" src="http://www.webassign.net/images/ihatbold.gif"alt="ihatbold" />. Find the magnetic field in the<em>z</em> = 0 plane at the following.</p>
<div class="indent">(a) <em>x</em> = <spanstyle="color: red;">0.9</span> m, <em>y</em> =<span style="color: red;">2.7</span> m<br /><span class="qTextField"> <span class="box_num"style="display: none;">1</span><inputid="RN_1182483_4_0_1182953" dir="ltr" name="RN_1182483_4_0_1182953"size="10" type="text" /></span> pT<br /> <br/> (b) <em>x</em> = <span style="color:red;">1.9</span> m, <em>y</em> = <spanstyle="color: red;">1.9</span> m<br /> <spanclass="qTextField"> <span class="box_num" style="display:none;">2</span><input id="RN_1182483_4_1_1182953"dir="ltr" name="RN_1182483_4_1_1182953" size="10" type="text"value="0" /></span><imgid="mark_RN_1182483_4_1_1182953" title="Your answer is correct."src="http://www.webassign.net/wastatic/wacached645920e395fedad7bbbed0eca3fe2e0/common/img/tick.png"alt="Your answer is correct." /> pT<br /> <br /> (c)<em>x</em> = <span style="color:red;">1.9</span> m, <em>y</em> = <spanstyle="color: red;">2.7</span> m<br /> <spanclass="qTextField"> <span class="box_num" style="display:none;">3</span><input id="RN_1182483_4_2_1182953"dir="ltr" name="RN_1182483_4_2_1182953" size="10" type="text"/></span> pT</div>

Weekly leaderboard

Home
Homework Help 3,900,000
Physics 110,000
Start filling in the gaps now
Log in