A Rectangular Beam Will Be Cut from a Cylindrical Log $r = 40$

question 49

Multiple Choice

A rectangular beam will be cut from a cylindrical log of radius $r = 40$ inches. Suppose that the strength of a rectangular beam is proportional to the product of its width and the square of its depth. Find the dimensions of the strongest beam that can be cut from the cylindrical log.

• A) \(\sqrt { 3 } \mathrm { in } , 80 \mathrm { in }\)
• B) \(\frac { 80 } { \sqrt { 3 } }\) in, \(80 \sqrt { \frac { 2 } { 3 } }\) in
• C) \(\frac { 80 } { \sqrt { 3 } }\) in, \(\frac { 80 } { \sqrt { 3 } }\) in
• D) \(80 \sqrt { \frac { 2 } { 3 } }\) in, \(80 \sqrt { \frac { 2 } { 3 } }\) in
• E) 80 in, \(\sqrt { \frac { 2 } { 3 } }\) in

Comprehend the role and interpretation of correlation coefficients in research.

Understand the concept and impact of the placebo effect in psychological research.

Differentiate between dependent and independent variables in experimental design.

Comprehend the importance and application of operational definitions in experiments.

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