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  4. Two parallel and opposite forces each 5000 N are applied tangentially to the upper and lower faces of a cubical metal block of side 25 cm. The angle of shear is (The shear modulus of the metal is 80 GPa.)

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Q. Two parallel and opposite forces each $5000\, N $ are applied tangentially to the upper and lower faces of a cubical metal block of side $25 \,cm$. The angle of shear is
(The shear modulus of the metal is $80 \,GPa$.)

Mechanical Properties of Solids

Solution:

Here, $F= 5000 \,N$
$L=25\, cm$ $=25\times10^{-2}\,m$
$A$ $=\left(25\times10^{-2}m\right)^{2}$ $=625\times10^{-4}m^{2}$
$\eta=80 Gpa$ $=80\times10^{9}pa$
Angle of shear, $\theta$ $=\frac{F}{A\eta}$ $=\frac{5000}{625\times10 ^{-4}\times80\times10^{9}}$ $=10^{-6} \, rad$