document.write( "Question 980441: The load that can supported by a rectangular beam varies jointly as the width of the beam and the square of its height, and inversely as the length of the beam. A beam 12 feet long, with a width of 6 inches and a height of 4 inches can support a maxiumum load of 800 pounds. If a similar board has a width of 9 inches and a height of 5 inches, how long must it be to support 1,200 pounds?
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Algebra.Com's Answer #601579 by onlinepsa(22)![]() ![]() You can put this solution on YOUR website! Load supported can be expressed as,\r \n" ); document.write( "\n" ); document.write( "L= k* (h^2) * w / l\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In first case:\r \n" ); document.write( "\n" ); document.write( "800 = k* (4^2) * 6/144\r \n" ); document.write( "\n" ); document.write( "k= 1200\r \n" ); document.write( "\n" ); document.write( "In the second case:\r \n" ); document.write( "\n" ); document.write( "1200 = 1200* (5^2) * 9/l\r \n" ); document.write( "\n" ); document.write( "=> l = 25 * 9 = 225 inch = 18.7 feet approx.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thanks, \n" ); document.write( "PRD \n" ); document.write( "https://onlinepsa.wordpress.com/ \n" ); document.write( " |