<HTML> <HEAD> <META http-equiv=Content-Type content='text/html; charset=ISO-8859-1'> <TITLE>Simple harmonic movement</TITLE> <LINK REL="stylesheet" TYPE="text/css" HREF="../css/newton.css"> <script type="text/javascript" language="JavaScript" src="../js/objNavegador.js"></script> <script type="text/javascript" language="JavaScript" src="../js/objLayer.js"></script> <script type="text/javascript" language="JavaScript" src="../js/newton.js"></script> <style type="text/css"> <!-- .Estilo1 { color: #0033CC; font-weight: bold; } --> </style> </HEAD> <body onload="posicionaMenu(5)" bgcolor="#ffffff"> <div class="clsCurso" id="CapaCurso" contenteditable="false" gblcoloron="FFACC2" gblcolor="E48CA2">2<sup>nd</sup> year of post-compulsory secondary education</div> <div id="CapaFondo"><img src="images/fondo.jpg" height="429" width="770"></div> <div id="CapaImg"><img id="imgUnidad" src="images/mas.gif" name="imgUnidad"></div> <div id="eltoMenuHead" nombre="eltoMenuHead"> <table border="0" 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onmouseover="rollOver('imgInicio', 'CapaMenuH', 'images/menuH/inicio_on.jpg')" onmouseout="rollOver('imgInicio', 'CapaMenuH', 'images/menuH/inicio.jpg')" href="../../index.html">Home</a></td> <td width="2"><img src="images/menuH/separaFondo.jpg" height="21" width="2"></td> </tr> </tbody> </table> </div> <div class="" id="CapaCont" contenteditable="false"> <TABLE id=oTblSep0 height=1 cellSpacing=0 cellPadding=0 border=0> <TR height=1> <TD height=1></TD></TR></TABLE> <TABLE id=oTblCont0 borderColor=#e48ca2 cellSpacing=0 cellPadding=2 width=606 bgColor=#ffffff border=0> <TR height=26> <TD class=clsCabecera bgColor=#ffacc2><span class="Estilo1">2.1 Position of a body in an S.H.M.</span></TD> </TR> <TR> <TD class=clsTexto vAlign=top> <P align="center"><br> <applet name="Posicion" code="Descartes.class" codebase="../.." archive="Descartes3.jar" MAYSCRIPT width=500 height=310> <param name="name" value="Posicion"> <param name="Version" value="3.506"> <param name="Language" value="english"> <param name="Buttons" value="about=no config=no init=yes clear=no"> <param name="E_00" value="fixed='yes' bg_display='topleft' background='d7d7d7' net='no' net10='no' axes='gray' text='white' x-axis='t' y-axis='Y' numbers='yes'"> <param name="C_00" value="type='num&eacute;rico' id='Ox' region='external' value='-160' decimals='0' fixed='yes' name='O.x' incr='32' visible='no'"> <param name="C_01" value="type='num&eacute;rico' id='Oy' region='external' value='-20' decimals='0' fixed='yes' name='O.y' incr='32' visible='no'"> <param name="C_02" value="type='num&eacute;rico' id='A' value='8' decimals='0' fixed='yes' name='A' incr='1' inf='0' sup='15'"> <param name="C_03" value="type='num&eacute;rico' id='T' value='5.0' decimals='1' fixed='yes' name='T' incr='0.2' inf='1' sup='7'"> <param name="C_04" value="type='num&eacute;rico' id='Escena' gui='button' region='north' fixed='yes' name='Visual' tooltip='Description (left-click for more information)' Explanation='Description (left-click for more information)' action='message' parameter='In this visual you can see how the position moves along a sinusoidal (sine) trajectory as time goes by.'"> <param name="C_05" value="type='num&eacute;rico' id='A1' gui='button' region='north' fixed='yes' name='A1' tooltip='Activity 1 (left-click for more information)' Explanation='Activity 1 (left-click for more information)' action='message' parameter='Change the value of the amplitude and observe the changes in the graph.'"> <param name="C_06" value="type='num&eacute;rico' id='A2' gui='button' region='north' fixed='yes' name='A2' tooltip='Activity 2 (left-click for more information)' Explanation='Activity 2 (left-click for more information)' action='message' parameter='Now change the period of the movement and analyse the changes in the graph, the angular frequency and the frequency. \nWould you be able to identify the value of the period from the graph?'"> <param name="C_07" value="type='num&eacute;rico' id='escala' region='north' value='12' decimals='0' fixed='yes' name='zoom' incr='1' inf='1' sup='1000000' visible='no'"> <param name="A_00" value="id='pi' expresion='3.14159' evaluate='only-once' constant='yes'"> <param name="A_01" value="id='w' expresion='(2*pi)/T'"> <param name="A_02" value="id='y' expresion='A*(sen(w*t))'"> <param name="A_03" value="id='f' expresion='1/T'"> <param name="A_04" value="id='a(x)' expresion='((x*17)-100-Ox)/escala'"> <param name="A_05" value="id='b(x)' expresion='((x*17)+Oy)/escala'"> <param name="G_00" value="type='segment' colour='282d2d' expresion='(-3,y)(0+t,y)' fixed='yes'"> <param name="G_01" value="type='equation' draw-if='(x>0)&(x<20)' colour='00006b' expresion='y=A*sen(w*x)' visible='no'"> <param name="G_02" value="type='segment' colour='4d0000' expresion='(-3,-A)(-3,A)' fixed='yes'"> <param name="G_03" value="type='polygon' background='yes' colour='a24040' expresion='(a(12),b(-5.3))(a(18),b(-5.3))(a(18),b(-7))(a(12),b(-7))(a(12),b(-5.3))' fill='white' width='4'"> <param name="G_04" value="type='segment' expresion='(0+t,0)(0+t,y)' text='y' fixed='yes'"> <param name="G_05" value="type='segment' colour='a24040' expresion='(-4,0)(-4,A)' fixed='yes'"> <param name="G_06" value="type='text' colour='a24040' expresion='[355,230]' text='t=[t]s' font='Courier,BOLD,14' fixed='yes'"> <param name="G_07" value="type='text' expresion='[80,230]' text='y= A&middot;sin (É&middot;t)= [y] m' font='SantSerif,BOLD,16' fixed='yes'"> <param name="G_08" value="type='text' colour='a24040' expresion='[2,60]' text='A' font='Monospaced,PLAIN,14' fixed='yes'"> <param name="G_09" value="type='text' colour='black' expresion='[350,20]' text='f= [f] Hz' font='Courier,PLAIN,14' fixed='yes'"> <param name="G_10" value="type='text' colour='black' expresion='[350,40]' text='É = [w] rad/s' font='Monospaced,PLAIN,14' fixed='yes'"> <param name="G_11" value="type='point' colour='red' expresion='(-3,y)' fixed='yes' size='6'"> <param name="G_12" value="type='point' expresion='(0+t,y)' trace='000087' fixed='yes' size='4'"> <param name="Animation" value="delay='100' controls='no' auto='no' init='n=0; t=0' do='n=n+1;t=n/10' while='n<=199'"> </applet> &nbsp;</P> <div align="justify"> <FONT size=3><FONT size=3></FONT></FONT></div></TD> </TR> </TABLE> </DIV> <div class="clsCapasMenu" id="eltoMenu0" nombre="eltoMenu0"> <table border="0" cellpadding="0" cellspacing="0" width="138"> <tbody> <tr> <td><img src="images/menu/menu_19.jpg" height="2" width="10"></td> <td><img src="images/menu/menu_20.jpg" height="2" width="112"></td> <td><img src="images/menu/menu_21.jpg" height="2" width="16"></td> </tr> <tr> <td background="images/menu/menu_22.jpg" height="25" width="10"><img src="images/spacer.gif" height="1" width="1"></td> <td class="clsMenu" id="eltoMenuHead0" align="left" bgcolor="#e48ca2" height="25" width="112"><a class="clsMenu" href="javascript:gestionMenu(0)">Introduction</a></td> <td background="images/menu/menu_24.jpg" height="25" width="16"><img 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width="112"></td> <td><img src="images/menu/menu_27.jpg" height="4" width="16"></td> </tr> </tbody> </table> <table align="center" border="0" bordercolor="#ffffff" cellpadding="2" cellspacing="0" width="138"> <tbody> <tr> <td width="5"><img src="images/spacer.gif" height="1" width="5"></td> <td class="clsSubMenu" id="eltoSubMenuHead10" align="left" bgcolor="#ffffff" width="123"><a class="clsMenu" href="javascript:enlace('21_mas.html', 1, 0)">Position</a></td> <td width="5"><img src="images/spacer.gif" height="1" width="10"></td> </tr> <tr> <td width="5"><img src="images/spacer.gif" height="1" width="5"></td> <td class="clsSubMenu" id="eltoSubMenuHead11" align="left" bgcolor="#f0f0f0" width="123"><a class="clsMenu" href="javascript:enlace('22_mas.html', 1, 1)">Velocity</a></td> <td width="5"><img src="images/spacer.gif" height="1" width="10"></td> </tr> <tr> <td width="5"><img src="images/spacer.gif" height="1" width="5"></td> <td class="clsSubMenu" id="eltoSubMenuHead12" align="left" bgcolor="#ffffff" width="123"><a class="clsMenu" href="javascript:enlace('23_mas.html', 1, 2)">Acceleration</a></td> <td width="5"><img src="images/spacer.gif" height="1" width="10"></td> </tr> <tr> <td width="5"><img src="images/spacer.gif" height="1" width="5"></td> <td class="clsSubMenu" id="eltoSubMenuHead13" align="left" bgcolor="#f0f0f0" width="123"><a class="clsMenu" href="javascript:enlace('24_mas.html', 1, 3)">S.H.M. and Uniform Circular Movement</a></td> <td width="5"><img src="images/spacer.gif" height="1" width="10"></td> </tr> <tr> <td width="5"><img src="images/spacer.gif" height="1" width="5"></td> <td class="clsSubMenu" id="eltoSubMenuHead14" align="left" bgcolor="#ffffff" width="123"><a class="clsMenu" href="javascript:enlace('25_mas.html', 1, 4)">Phase</a></td> <td width="5"><img src="images/spacer.gif" height="1" width="10"></td> </tr> <tr> <td width="5"><img src="images/spacer.gif" height="1" width="5"></td> <td class="clsSubMenu" id="eltoSubMenuHead15" align="left" bgcolor="#f0f0f0" width="123"><a class="clsMenu" href="javascript:enlace('26_mas.html', 1, 5)">Conclusions</a></td> <td width="5"><img src="images/spacer.gif" height="1" width="10"></td> </tr> </tbody> </table> </div> <div class="clsCapasMenu" id="eltoMenu2" nombre="eltoMenu2"> <table border="0" cellpadding="0" cellspacing="0" width="138"> <tbody> <tr> <td><img src="images/menu/menu_19.jpg" height="2" width="10"></td> <td><img src="images/menu/menu_20.jpg" height="2" width="112"></td> <td><img src="images/menu/menu_21.jpg" height="2" width="16"></td> </tr> <tr> <td background="images/menu/menu_22.jpg" height="25" width="10"><img src="images/spacer.gif" height="1" width="1"></td> <td class="clsMenu" id="eltoMenuHead2" align="left" bgcolor="#e48ca2" height="25" width="112"><a class="clsMenu" href="javascript:gestionMenu(2)">The dynamics of an S.H.M.</a></td> <td background="images/menu/menu_24.jpg" height="25" width="16"><img src="images/spacer.gif" height="1" width="1"></td> </tr> <tr> <td><img src="images/menu/menu_25.jpg" height="4" width="10"></td> <td><img src="images/menu/menu_26.jpg" height="4" width="112"></td> <td><img src="images/menu/menu_27.jpg" height="4" width="16"></td> </tr> </tbody> </table> <table align="center" border="0" bordercolor="#ffffff" cellpadding="2" cellspacing="0" width="138"> <tbody> <tr> <td width="5"><img src="images/spacer.gif" height="1" width="5"></td> <td class="clsSubMenu" id="eltoSubMenuHead20" align="left" bgcolor="#ffffff" width="123"><a class="clsMenu" href="javascript:enlace('31_mas.html', 2, 0)">Elastic force</a></td> <td width="5"><img src="images/spacer.gif" height="1" width="10"></td> </tr> <tr> <td width="5"><img src="images/spacer.gif" height="1" width="5"></td> <td class="clsSubMenu" id="eltoSubMenuHead21" align="left" bgcolor="#f0f0f0" width="123"><a class="clsMenu" href="javascript:enlace('32_mas.html', 2, 1)">Frequency</a></td> <td width="5"><img src="images/spacer.gif" height="1" width="10"></td> </tr> <tr> <td width="5"><img src="images/spacer.gif" height="1" width="5"></td> <td class="clsSubMenu" id="eltoSubMenuHead22" align="left" bgcolor="#ffffff" width="123"><a class="clsMenu" href="javascript:enlace('33_mas.html', 2, 2)">Conclusions</a></td> <td width="5"><img src="images/spacer.gif" height="1" width="10"></td> </tr> </tbody> </table> </div> <div class="clsCapasMenu" id="eltoMenu3" nombre="eltoMenu3"> <table border="0" cellpadding="0" cellspacing="0" width="138"> <tbody> <tr> <td><img src="images/menu/menu_19.jpg" height="2" width="10"></td> <td><img src="images/menu/menu_20.jpg" height="2" width="112"></td> <td><img src="images/menu/menu_21.jpg" height="2" width="16"></td> </tr> <tr> <td background="images/menu/menu_22.jpg" height="25" width="10"><img src="images/spacer.gif" height="1" width="1"></td> <td class="clsMenu" id="eltoMenuHead3" align="left" bgcolor="#e48ca2" height="25" width="112"><a class="clsMenu" href="javascript:gestionMenu(3)">The energy of an S.H.M.</a></td> <td background="images/menu/menu_24.jpg" height="25" width="16"><img src="images/spacer.gif" height="1" width="1"></td> </tr> <tr> <td><img src="images/menu/menu_25.jpg" height="4" width="10"></td> <td><img src="images/menu/menu_26.jpg" height="4" width="112"></td> <td><img src="images/menu/menu_27.jpg" height="4" width="16"></td> </tr> </tbody> </table> <table align="center" border="0" bordercolor="#ffffff" cellpadding="2" cellspacing="0" width="138"> <tbody> <tr> <td width="5"><img src="images/spacer.gif" height="1" width="5"></td> <td class="clsSubMenu" id="eltoSubMenuHead30" align="left" bgcolor="#ffffff" width="123"><a class="clsMenu" href="javascript:enlace('41_mas.html', 3, 0)">Conservation of energy</a></td> <td width="5"><img src="images/spacer.gif" height="1" width="10"></td> </tr> <tr> <td width="5"><img src="images/spacer.gif" height="1" width="5"></td> <td class="clsSubMenu" id="eltoSubMenuHead31" align="left" bgcolor="#f0f0f0" width="123"><a class="clsMenu" href="javascript:enlace('42_mas.html', 3, 1)">Graphic representation</a></td> <td width="5"><img src="images/spacer.gif" height="1" width="10"></td> </tr> <tr> <td width="5"><img src="images/spacer.gif" height="1" width="5"></td> <td class="clsSubMenu" id="eltoSubMenuHead32" align="left" bgcolor="#ffffff" width="123"><a class="clsMenu" href="javascript:enlace('43_mas.html', 3, 2)">Conclusions</a></td> <td width="5"><img src="images/spacer.gif" height="1" width="10"></td> </tr> </tbody> </table> </div> <div class="clsCapasMenu" id="eltoMenu4" nombre="eltoMenu4"> <table border="0" cellpadding="0" cellspacing="0" width="138"> <tbody> <tr> <td><img src="images/menu/menu_19.jpg" height="2" width="10"></td> <td><img src="images/menu/menu_20.jpg" height="2" width="112"></td> <td><img src="images/menu/menu_21.jpg" height="2" width="16"></td> </tr> <tr> <td background="images/menu/menu_22.jpg" height="25" width="10"><img src="images/spacer.gif" height="1" width="1"></td> <td class="clsMenu" id="eltoMenuHead4" align="left" bgcolor="#e48ca2" height="25" width="112"><a class="clsMenu" href="51_mas.html">Evaluation</a></td> <td background="images/menu/menu_24.jpg" height="25" width="16"><img src="images/spacer.gif" height="1" width="1"></td> </tr> <tr> <td><img src="images/menu/menu_25.jpg" height="4" width="10"></td> <td><img src="images/menu/menu_26.jpg" height="4" width="112"></td> <td><img src="images/menu/menu_27.jpg" height="4" width="16"></td> </tr> </tbody> </table> </div> <DIV id=CapaRetroceder><A id=aRetroceder href="21_mas.html"><IMG onmouseover="this.src='images/retroceder_on.jpg'" onmouseout="this.src='images/retroceder.jpg'" height=18 src="images/retroceder.jpg" width=88 border=0></A></DIV> </body> </html>