A copper metal cube has each side of length 1 m. The bottom edge of the cube is fixed and tangential force 4.2x10^8 N is applied to a top surface. - Physics

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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.

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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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2013-2014 (March)

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