Mathematics, 10.01.2020 01:31 ComicSans10
The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. if a beam one fourth
foot wide, one third
foot high, and 12 feet long can support 30 tons, find how much a similar beam can support if the beam is one fourth
foot wide, one half
foot high, and 12 feet long.
Answers: 3
![\bf \qquad \qquad \textit{joint compound proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with \underline{z}} \end{array}\implies y=\cfrac{kx}{z}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{W varies jointly as its width, squared heght and inversely with length}}{W=\cfrac{wh^2}{L}}](/tpl/images/0449/0785/30ad1.png)
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