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A 4 cm cube has its upper face displaced...

A 4 cm cube has its upper face displaced by 0.1 mm by a tangential force of 8 kN. Calculate the shear modulus of the cube.

Text Solution

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Here, each side of the cube L = 4 cm
Area of the face.over which the force is applied, a = `L^2` = 16 sq. cm
Displacement,` Delta L` = 0.1 mm = 0.01 cm
Force applied, F = 8 kN = `8000 xx 10^5 = 8 xx 10^8` dyne
`As ,G`=(FL)/(aDeltaL)`
`G=(8xx10^(8)xx4)/(16xx0.01)=2xx10^(10)`dyne/sq. cm
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