GATE AE 2023 • Q30 NAT • 1 Mark

Aerodynamics & Fluid Mechanics

Incompressible & Compressible Aerodynamics

Subtopic: Airfoil & Wing Theory

Question Statement:

For studying wing vibrations, a wing of mass M and finite dimensions has been idealized by assuming it to be supported using a linear spring of equivalent stiffness k and a torsional spring of equivalent stiffness k as shown in the figure. The centre of gravity (CG) of the wing idealized as an airfoil is marked in the figure. The number of degree(s) of freedom for this idealized wing vibration model is _________. (Answer in integer)

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.30)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (1 Mark, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Incompressible & Compressible Aerodynamics equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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