Ask Question
22 July, 23:33

A rectangular beam is cut from a cylindrical log of radius 25 cm. A cross-section of the log is shown below. The strength, S, of a beam of width w and height h is proportional to wh2.

(a) Express the strength of the beam as a function of w only. Use k as the proportionality constant.

S (w) =

(b) Find the exact width and height of the beam of maximum strength.

Width =

Height =

+5
Answers (1)
  1. 22 July, 23:50
    0
    We are given the statement that the strength, S, of a beam of width w andheight h is proportional to wh2. hence using k as the proportionality constant, the equation is S = k wh2. the exact width and height can be determined by applying optimization to the problem. optimization is taking the first derivative of an equation and equating then to zero
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A rectangular beam is cut from a cylindrical log of radius 25 cm. A cross-section of the log is shown below. The strength, S, of a beam of ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers