A Wooden Beam Has a Rectangular Cross Section of Height

question 44

Multiple Choice

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 d = 26 inches? Round your answers to two decimal places.[Hint: where k > 0 is the proportionality constant.] ​

• A) inches and inches
• B) inches and inches
• C) inches and inches
• D) inches and inches
• E) inches and inches

---

Definitions:

Functionalism

A theoretical perspective in sociology and anthropology that interprets society as a structure with interrelated parts designed to meet the biological and social needs of individuals in that society.

Great Depression

A severe worldwide economic downturn that took place mostly during the 1930s, beginning in the United States.

Functionalism

A theoretical framework in the social sciences which posits that every aspect of society serves a function and is necessary for the survival of the society.

Sociology

The examination of societal behavior, community dynamics, the intricacies of social relationships, interactions, and the cultural elements that impact daily living.