GATE AE 2022 • Q63 NAT • 2 Marks

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

A uniform rigid prismatic bar of total mass m is suspended from a ceiling by two identical springs as shown in figure. Let 𝜔ଵ and 𝜔ଶ be the natural frequencies of mode I and mode II respectively (𝜔ଵ < 𝜔ଶ). The value of 𝜔ଶ/𝜔ଵ is _________ (rounded off to one decimal place).

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.63)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Structural Mechanics** under *Aerospace Structures* (2 Marks, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Structural Mechanics equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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