A cube of sponge rubber with edge length `5 cm` has a force of `2N` applied horizontally to the top face (parallel to an edge) while the bottom face is held fixed. If the top face is displaced horizontally through a distance of `1 mm`, find the shear modulus for the sponge rubber. (in `N//m^2`)
A
`2 xx 10^4`
B
`3 xx 10^4`
C
`4 xx 10^4`
D
`5 xx 10^4`
Text Solution
Verified by Experts
The correct Answer is:
C
We have `G=("Stress")/("Strain")=(F//A)/(tantheta)` `tantheta~=theta~=0.001m//0.02 rad` `S=(F/A)/(tantheta)~=F/(Atheta)~=(2N)/((2.5xx10^(-3))(0.02rad))=4xx10^(4)Nm^(-2)`
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CENGAGE PHYSICS-PROPERTIES OF SOLIDS AND FLUIDS-INTEGER_TYPE
