Explain (Fluids Mechanics) **Problem 2.74:**A tank of cross-sectional area \( A \) is filled with a liquid of specific weight \( \gamma_1 \) as shown in Fig. P2.74a. Show that when a cylinder of specific weight \( \gamma_2 \) and volume \( \mathcal{V} \) is floated in the liquid (see Fig. P2.74b), the liquid level rises by an amount:\[\Delta h = (\gamma_2 / \gamma_1) \mathcal{V} / A.\]**Figures Explanation:**- **Figure P2.74a**: This figure shows a tank filled with a liquid at an initial level. The liquid has a specific weight \( \gamma_1 \).- **Figure P2.74b**: This figure shows the same tank with a cylinder submerged in the liquid. The cylinder has a specific weight \( \gamma_2 \) and volume \( \mathcal{V} \). The liquid level rises by \( \Delta h \) due to the submerged cylinder. The illustration includes:- The cross-sectional area of the tank \( A \).- The original liquid level before the cylinder is added.- The increased liquid level indicated by \( \Delta h \) after the cylinder is placed in the tank.

Answered: Image /qna-images/answer/9acd10e4-e5aa-48a7-85d8-230e25d08368.jpg

2.74 A tank of cross-sectional area A is filled with a liquid of specific weight y₁ as shown in Fig. P2.74a. Show that when a cylinder of specific weight 72 and volume Vis floated in the liquid (see Fig. P2.74b), the liquid level rises by an amount Ah = (y2/Y₁)V/A. ▼ V1 Ah (a) FIGURE P2.74 V Y2 (b)

2.74 A tank of cross-sectional area A is filled with a liquid of specific weight y₁ as shown in Fig. P2.74a. Show that when a cylinder of specific weight 72 and volume Vis floated in the liquid (see Fig. P2.74b), the liquid level rises by an amount Ah = (y2/Y₁)V/A. ▼ V1 Ah (a) FIGURE P2.74 V Y2 (b)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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