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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 sp. Cm"`
Displacement, `DeltaL=0.1 mm = 0.01 cm`
Force applied, `F=8kN=8000xx10^(5)=8xx10^(8)` dyne
As, `G=(FL)/(aDeltaL)`
`G=(8xx10^(8)xx4)/(16xx0.01)=2xx10^(10)"dyne/sq. cm"`
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