The governing differential equation of motion of a damped system is given by
0 kxdt
dxcdt
x dm 2
2
. If m = 1 kg, c = 2 Ns/m and k = 2 N/m then the frequency of the damped
oscillation of this system is ____ rad/s.
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2016 Q.41)**
**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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