document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139437>Question 1139437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi. Any help would be greatly appreciated.\r<BR>\n" );
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document.write( "Find the magnitude and direction of the resultant of the following 3 forces in 2 dimensions.<BR>\n" );
document.write( "Force 1 10N at 30 degrees to the positive x axis<BR>\n" );
document.write( "Force 2 20N at 120 degrees to the positive x axis <BR>\n" );
document.write( "Force 3 30N at 240 degrees to the positive x axis.\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #759959 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=759959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the magnitude and direction of the resultant of the following 3 forces in 2 dimensions.<BR>\n" );
document.write( "Force 1 10N at 30 degrees to the positive x axis<BR>\n" );
document.write( "Force 2 20N at 120 degrees to the positive x axis <BR>\n" );
document.write( "Force 3 30N at 240 degrees to the positive x axis.<BR>\n" );
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document.write( "Do you mean all 3 forces at the same time?<BR>\n" );
document.write( "If the 3 forces act at the same point:<BR>\n" );
document.write( "Force 1 10N at 30 degrees to the positive x axis<BR>\n" );
document.write( "x component = 10*cos(30) = 5sqrt(3)<BR>\n" );
document.write( "y component = 10*sin(30) = 5<BR>\n" );
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document.write( "Force 2 20N at 120 degrees to the positive x axis<BR>\n" );
document.write( "x component = 20*cos(120) = -10<BR>\n" );
document.write( "y component = 20*sin(120) = 10sqrt(3)<BR>\n" );
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document.write( "Force 3 30N at 240 degrees to the positive x axis.<BR>\n" );
document.write( "x component = 30*cos(240) = -15<BR>\n" );
document.write( "y component = 30*sin(240) = -15sqrt(3)<BR>\n" );
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document.write( "Sum of x components = -25 + 5sqrt(3) =~ -16.34<BR>\n" );
document.write( "Sum of y components = 5 - 5sqrt(3) =~ -3.66<BR>\n" );
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document.write( "Angle = atan(y/x) in Q3 =~ 192.63 degs<BR>\n" );
document.write( "R = sqrt(x^2 + y^2) =~ 16.74N\r<BR>\n" );
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