GATE AE 2011 • Q42 NAT • 2 Marks

Engineering Mathematics

Linear Algebra & Differential Equations

Subtopic: Mathematical Formulations

Question Statement:

(C) 0.22 and 8300 km (D) 0.22 and 1900 km An aircraft in level flight encounters a vertical gust, which excites the phugoid mode. The phugoid motion completes 10 cycles in 50 s and its amplitude reduces to half of its maximum value in 25 s. The eigenvalues of the phugoid mode are

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2011 Q.42)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Linear Algebra & Differential Equations** under *Engineering Mathematics* (2 Marks, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Linear Algebra & Differential Equations equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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