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Question
A copper metal cube has each side of length 1 m. The bottom edge of the cube is fixed and tangential force 4.2x108 N is applied to a top surface. Calculate the lateral displacement of the top surface if modulus of rigidity of copper is 14x1010 N/m2.
Solution
Given
η=14x1010 N/m
F=4.2x108 N
A=1x1=1m2
`eta=(Fh)/(Ax)`
`x=(Fh)/(Aeta)`
`=(4.2xx10^8xx1m)/(1xx14xx10^10)`
`=(4.2xx10^8)/(14xx10^10)`
=0.3x10-2m=3mm
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