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Write the Word or Phrase That Best Completes Each Statement S=kd3sin2θcosθ\mathrm { S } = \mathrm { kd } ^ { 3 } \sin ^ { 2 } \theta \cos \theta

Question 156

Essay

Write the word or phrase that best completes each statement or answers the question.
-The strength S of a wooden beam with rectangular cross section is given by the formula S=kd3sin2θcosθ\mathrm { S } = \mathrm { kd } ^ { 3 } \sin ^ { 2 } \theta \cos \theta where d is the diagonal length, θ the angle illustrated, and k is a constant that varies with the type of wood used.  Write the word or phrase that best completes each statement or answers the question. -The strength S of a wooden beam with rectangular cross section is given by the formula  \mathrm { S } = \mathrm { kd } ^ { 3 } \sin ^ { 2 } \theta \cos \theta  where d is the diagonal length, θ the angle illustrated, and k is a constant that varies with the type of wood used.   Let d = 1 and express the strength S in terms of the constant k for θ = 45°, 50°, 55°, 60°, and 65°. Does the strength always increase as θ gets larger? Let d = 1 and express the strength S in terms of the constant k for θ = 45°, 50°, 55°, 60°, and 65°. Does the strength
always increase as θ gets larger?

Correct Answer:

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0.354k; 0.377k; 0.38...

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