SOLUTION: In problems 11 and 12, use the fact that the load a beam with a rectangular cross section can support is jointly proportional to the beams width and the square of its depth and inv

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Question 190827This question is from textbook algebra and trigonometry structure and method book 2
: In problems 11 and 12, use the fact that the load a beam with a rectangular cross section can support is jointly proportional to the beams width and the square of its depth and inversely proportional to it's length.
11. A beam 2 cm wide and 5cm deep can support a load of 630kg. What load can it support when turned on its side? This question is from textbook algebra and trigonometry structure and method book 2

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call the support s length L width w and depth d
:
sL/wd=k
:
630L%2F2%285%29%5E2=k
:
k=630L%2F50
:
now the width is 5 and the depth is 2 find s
:
sL%2F5%282%29%5E2=630L%2F50
:
s=630%2A20%2F50=252kg ..........L's cancelled each other