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A steel plate of face area 2 cm^(2) and...

A steel plate of face area 2 `cm^(2)` and the thickness 1.0cm is fixed at the lower face. A tangential force of 10N is applied on the upper surface. Find the lateral displacement of the upper surface with respect to the lower surface. Rigidity modulus of steel `=8.4xx10^(10)Nm^(-2)`

Text Solution

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`A=2cm^(2)=2xx10^(-4)m^(2)`,
`L=1.0cm =1xx10^(-2)m`,
`F=10N. G=8.4xx10^(10)Nm^(-2), l=?`,
`G=(FL)/(Adeltax)`
The leteral displacement of the upper face with respect to the lower face is `Deltax=(FL)/(AG)`
`=(10xx1xx10^(-2))/( 2xx10^(-4) xx 8.4xx10^(10))`
`(1)/(16.8)xx10^(-7)m=5.952xx10^(-9)m`.
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