For a general aviation airplane, one of the complex conjugate pair of eigenvalues
for longitudinal dynamics is given by -0.039 ± 0.0567 i (in SI units) . If the
system is disturb ed to excite only this mode, the time taken for the amplitude of
response to become half in magnitude is _______ s (rounded off to 1 decimal place).
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.62)**
**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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