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Two equal and opposite forces are applie...

Two equal and opposite forces are applied tangentially to two mutually opposite faces of an aluminium cube of side 3 cm to produce a shear of `0.01^@`. IF the modulus of rigidity for aluminium is `7 times 10^10 N.m^-2`, then calculate the force applied.

Text Solution

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Let the magnitude of applied force be F.
We know that, `n=(F//A)/thetaor,F=n thetaA`
Here, `n=7times10^10N.m^-2`
`theta=0.01^@=(0.01timespi)/180rad`,
`A=9cm^2=9times10^-4m^2`
`thereforeF=7times10^10times(0.01times3.14)/180times9times10^-4=1.1 times 10^4 N`
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