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Question

A cube of side 1 m fixed at the lower face is acted upon by a tangential force F on its upper surface. If shearing strain is 10−2 due to force F, find the distance that the upper face is sheared with respect to lower face.

A
103 m
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B
102 m
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C
104 m
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D
101 m
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Solution

The correct option is B 102 m


The figure represents the plane, which is showing the shearing action along one of the face of cube.
F is the shearing force acting along the face of cube.
AA=CC=x is the distance by which face is sheared.
Shearing strain(ϕ)=AAAB
Or, ϕ=xL
102=xL
L=1 m given
x=L×102=102 m

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