document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062536>Question 1062536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Br resolving the forces horizontally and vertically, find the magnitude and direction of the resultant of the 4 forces shown below:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "      <BR>\n" );
document.write( "1. F1 : 10N 90 degrees from X-axis (In other words y/ direction-north)<BR>\n" );
document.write( "2. F2 : 30N 30 degrees from X-axis (direction-NE)<BR>\n" );
document.write( "3. F3 : 20N 10 degrees from X-axis (direction-NE)<BR>\n" );
document.write( "4. F4 : 10N 30 degrees belowX-axis (direction-SW) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677553 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=677553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Those forces are like this:\r<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "F1:  90 degrees, 10 Newtons\r\n" );
document.write( "F2:  30 degrees, 30 N\r\n" );
document.write( "F3:  10 degrees, 20 N\r\n" );
document.write( "F4:  120 degrees, 10 N\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Put them into components.<BR>\n" );
document.write( "West-East Component<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Acos%2890%29%2B30%2Acos%2830%29%2B20%2Acos%2810%29%2B10%2Acos%28120%29 ALIGN=MIDDLE  ALT=\"10%2Acos%2890%29%2B30%2Acos%2830%29%2B20%2Acos%2810%29%2B10%2Acos%28120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2B30sqrt%283%29%2F2%2B20%2Acos%2810%29%2B10%2A%28-sqrt%283%29%2F2%29 ALIGN=MIDDLE  ALT=\"0%2B30sqrt%283%29%2F2%2B20%2Acos%2810%29%2B10%2A%28-sqrt%283%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Asqrt%283%29%2B20%2Acos%2810%29-5%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"15%2Asqrt%283%29%2B20%2Acos%2810%29-5%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Asqr%283%29%2B20%2Acos%2810%29 ALIGN=MIDDLE  ALT=\"10%2Asqr%283%29%2B20%2Acos%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "North-South Component<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Asin%2890%29%2B30%2Asin%2830%29%2B20%2Asin%2810%29%2B10%2Asin%28120%29 ALIGN=MIDDLE  ALT=\"10%2Asin%2890%29%2B30%2Asin%2830%29%2B20%2Asin%2810%29%2B10%2Asin%28120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2B30%281%2F2%29%2B20%2Asin%2810%29-10%281%2F2%29 ALIGN=MIDDLE  ALT=\"10%2B30%281%2F2%29%2B20%2Asin%2810%29-10%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2B15-5%2B20%2Asin%2810%29 ALIGN=MIDDLE  ALT=\"10%2B15-5%2B20%2Asin%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2B20%2Asin%2810%29 ALIGN=MIDDLE  ALT=\"20%2B20%2Asin%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "These forces make an EASTWARD component <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Asqrt%283%29%2B20%2Acos%2810%29 ALIGN=MIDDLE  ALT=\"10%2Asqrt%283%29%2B20%2Acos%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and a NORTHWARD component <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2B20%2Asin%2810%29 ALIGN=MIDDLE  ALT=\"20%2B20%2Asin%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Units are Newtons.<BR>\n" );
document.write( "Decimal Approximations:<BR>\n" );
document.write( "EASTWARD 37.017 Newtons<BR>\n" );
document.write( "NORTHWARD 23.473 Newtons<BR>\n" );
document.write( "-<BR>\n" );
document.write( "Angle Direction? <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28p%29=23.473%2F37.017 ALIGN=MIDDLE  ALT=\"tan%28p%29=23.473%2F37.017\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28p%29=0.63411 ALIGN=MIDDLE  ALT=\"tan%28p%29=0.63411\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p=32.4%2Adegrees%29 ALIGN=MIDDLE  ALT=\"highlight%28p=32.4%2Adegrees%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "Magnitude?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2837.017%5E2%2B23.473%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2837.017%5E2%2B23.473%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2826.2%2Anewtons%29 ALIGN=MIDDLE  ALT=\"highlight%2826.2%2Anewtons%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );