Pressure is defined as force per unit area ($P = F/ A$). The force exerted by the wooden block on the tabletop is its weight, which is constant regardless of its orientation. Therefore, the pressure exerted is inversely proportional to the area of contact. The smallest contact area will exert the highest pressure, and the largest contact area will exert the lowest pressure.
A block of wood (dimensions : $40 \text{ cm} \times 20 \text{ cm} \times 10 \text{ cm}$) is kept on a tabletop in three different positions : (a) with its side of dimensions $20 \text{ cm} \times 10 \text{ cm}$; (b) with its side of dimensions $10 \text{ cm} \times 40 \text{ cm}$; and (c) with its side of dimensions $40 \text{ cm} \times 20 \text{ cm}$. The pressure exerted by the wooden block on the tabletop in these positions is represented by $P_A$, $P_B$ and $P_C$ respectively. The pressure follows the trend
Asked in UPSC NDA 2 2023 · Topic: Mechanics (Fluid Statics and Dynamics (Continuity Equation, Bernoulli's Theorem))
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