The maximum weight M in pounds that can be supported by a beam is jointly proportional to its width w in inches and the square of its height h in inches, and inversely proportional to its length L in feet. h w (a) Write an equation that expresses this proportionality. (Use k as the constant of proportionality.) M = (b) Determine the constant of proportionality if a beam 4 in. wide, 5 in. high, and 10 ft long can support a weight of 4000 Ib. Ib · ft in3 k = (c) If a 10-ft beam made of the same material is 3 in. wide and 10 in. high, what is the maximum weight it can support? M = Ib

The maximum weight M in pounds that can be supported by a beam is jointly proportional to its width w in inches and the square of its height h in inches, and inversely proportional to its length L in feet. h w (a) Write an equation that expresses this proportionality. (Use k as the constant of proportionality.) M = (b) Determine the constant of proportionality if a beam 4 in. wide, 5 in. high, and 10 ft long can support a weight of 4000 Ib. Ib · ft in3 k = (c) If a 10-ft beam made of the same material is 3 in. wide and 10 in. high, what is the maximum weight it can support? M = Ib

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.CT: Chapter Test

Problem 17CT: The maximum weight M that can be supported by a beam is jointly proportional to its width w and the...

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