A metal cube of side length $$8.0$$ cm has its upper surface displaced with respect to the bottom by $$0.10mm$$ when tangential force of $$4$$×$$104N$$ is applied at the top with bottom surface fixed. The rigidity modulus of the material of the cube is

Correct option is 25×109Nm−2

Questions

A metal cube of side length 8.0 cm has its upper surface displaced with respect to the bottom by 0.10mm when tangential force of $4 \times 10^{4} N$ is applied at the top with bottom

surface fixed. The rigidity modulus of the material of the cube is

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4×109Nm−2

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108 Nm−2

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detailed solution

Correct option is B

Rigidity modulus η=F/Atanθ tanθ=0.10×10−38×10−2=1800 η=4×104×8008×8×10−4=5×109N/m2

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A metal cube of side length 8.0 cm has its upper surface displaced with respect to the bottom by 0.10mm when tangential force of 4×104N is applied at the top with bottom surface fixed. The rigidity modulus of the material of the cube is

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Ready to Test Your Skills?

free study material

A metal cube of side length 8.0 cm has its upper surface displaced with respect to the bottom by 0.10mm when tangential force of $4 \times 10^{4} N$ is applied at the top with bottom

surface fixed. The rigidity modulus of the material of the cube is