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A steel plate of face area 4 cm^2 and th...

A steel plate of face area `4 cm^2` and thickness 0.5 cm is fixed rigidly at the lower surface. A tangential force of 10 N is applied on the upper surface. Find the lateral displacement of the upper surface with respect to the lower surface. Rigidity modulus of steel `=8.4xx10^10Nm^-2`.

A

`1.5xx10^(-6)m`

B

`1.5xx10^(-7)m `

C

`1.5xx10^(-8)m`

D

`1.5xx10^(-9)m`

Text Solution

Verified by Experts

The correct Answer is:
D
`eta =(Fh)/(Ax)`
`x=(Fh)/(Aeta)=(10xx 0.5)/(4xx10^(-4)xx8.4xx10^(10)) =(5xx10^(-6))/(4xx8.4)`
`=1.5xx10^(-7) m`.
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