Question: A rectangular beam is cut from a cylindrical log of radius 20 cm. A cross-section of the log is shown below. A rectangular beam is

A rectangular beam is cut from a cylindrical log of radius 20 cm. A cross-section of the log is shown below.

A rectangular beam is cut from a cylindrical log of radius 20 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 whz. (a) Express the strength of the beam as a function of at only. Use k as the proportionality constant and lower case w. m = :l (b) Find the exact width and height of the beam of maximum strength. Width =

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

I have 11 question Homework for calc 1 I upload a pic of question Please I need the answers asap. You are asked to build an open cylindrical can (i.e. no top) that will hold 665.5 cubic inches. To do...

270 Chapter 4 Applications of Derivatives c. What is the largest area the rectangle can have, and what are its dimensions? 12. Find the volume of the largest right circular cone that can be in- X...

A rectangular beam will be cut from a cylindrical log of radius 10 inches. Suppose that the strength of a rectangular beam is equal to the product of its width and the square of its depth. Find the...

A rectangular beam will be cut from a cylindrical log of radius 10 inches. (a) Show that the beam of maximal cross-sectional area is a square. (b) Four rectangular planks will be cut from the four...

A rectangular beam will be cut from a cylindrical log of radius r = 30 inches. Suppose that the strength of a rectangular beam is proportional to the product of its width and the square of its depth....

6. (8 marks) A rectangular beam will be cut from a cylindrical log of radius 10 inches. Suppose that the strength of a rectangular beam is equal to the product of its width and the square of its...

Please help me with them, it's urgent! 1. (17 marks) Evaluate the following limits, if they exist. (a) lim 13 - 41 + 4x T-2 1 - cos(TI) (b) lim 12 +3 - V21 + 2 (x - 1)2 (c) lim e 3 cos(15 ) (d) lim...

This is a take home test I need to do thanks. Exam 4 Chapter 12 take home portion Name___________________ David Hallberg Instructor. And remember no WORK means NO credit! MATH-115-A and B Give exact...

Acac extra sum * Born M Inbo & All-s | 2020 | no s! | 3 Cour | 606 12 E x 6 704| Copy | 606 704 (| % Para: | Last | 3 Cour | G http: | + - C a...

Ac 4 20 ex G Gc * Bo |M Int | Lo | Pe All| Cl. 20 | Till FK | ac | ac | v1| La | Cc 19 x G Q E 6 9 ht |E cc| 60|B (0 G sc + C...

Write a function randomInteger that takes two integer parameters min and max and returns a random integer value between min and max (inclusive). Have the main method call the function with different...

f Gordo X G Gordo x O Mail M (no su X The M X SB NIST C X W Gordo X BibMe X SST ALEKS X Rb Welco X E Untitle X in Gordo X Cenga X...

2. LO.1 Complete the following chart by indicating whether each item is true or false. Explain your answers by reference to the overlap of rules appearing in Federal and most state income tax laws....

Amazon is struggling with the use of third party logistics firms to handle their last mile deliveries. Be innovative and come up with a response on how they could conquer this issue COST EFFECTIVELY.

4. Similarity (representativeness).

2. In this chapter, the reader should reflect on the following concepts: Idealized system design, analogue thinking, contrast principle, consistency principle, reciprocity principle, scarcity...

2. A Soviet invasion of Poland would lead to the severing of diplomatic relations between the United States and the Soviet Union.