GATE XE (Engineering Sciences) 2023 - Question 30

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Section: Fluid Mechanics | Type: MSQ | Marks: 1

A stationary object is fully submerged in a static fluid, as shown in the figure. Here, CG and CB stand for center of gravity and center of buoyancy, respectively. Which one(s) among the following statements is/are true?

Figure for question 30, GATE XE (Engineering Sciences) 2023

  • A. The object is in stable equilibrium if 𝑦𝐢𝐺> 𝑦𝐢𝐡.
  • B. The object is in stable equilibrium if 𝑦𝐢𝐺< 𝑦𝐢𝐡.
  • C. The object is in neutral equilibrium if 𝑦𝐢𝐺= 𝑦𝐢𝐡.
  • D. The object is in unstable equilibrium if 𝑦𝐢𝐺= 𝑦𝐢𝐡.

Answer: A. The object is in stable equilibrium if 𝑦𝐢𝐺> 𝑦𝐢𝐡.; C. The object is in neutral equilibrium if 𝑦𝐢𝐺= 𝑦𝐢𝐡.

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