A wooden beam has a rectangular cross section of heighthand widthw(see figure). The strengthSof the beam is directly proportional to the width and the square of the height. What are the dimensions of...


A wooden beam has a rectangular cross section of height
h
and width
w
(see figure). The strength
S
of the beam is directly proportional to the width and the square of the height. What are the dimensions of the strongest beam that can be cut from a round log of diameter
56
centimeters? (
Hint
:



S=kh
2
w,



where
k
is the proportionality constant.)
Oct 05, 2022
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