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  4. A rectangular block of size 10 cm × 8 cm × 5 cm is kept in three different positions P, Q and R in turn as shown in the figure. In each case, the shaded area is rigidly fixed and a definite force F is applied tangentially to the opposite face to deform the block. The displacement of the upper face will be

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Q. A rectangular block of size $10\, cm \times 8\, cm \times 5\, cm$ is kept in three different positions $P, Q$ and $R$ in turn as shown in the figure. In each case, the shaded area is rigidly fixed and a definite force $F$ is applied tangentially to the opposite face to deform the block. The displacement of the upper face will bePhysics Question Image

Mechanical Properties of Solids

Solution:

$\eta=\frac{F / A}{x / L}$
$\Rightarrow x=\frac{L}{\eta} \times \frac{F}{A}$
If $\eta$ and $F$ are constant, then $x \propto \frac{L}{A}$
For maximum displacement, area at which force applied should be minimum and vertical side should be maximum. This is given in the $R$ position of rectangular block.