A system comprising a bar, spring and mass is shown in the figure below. The bar,
having negligible mass, is made of a material having Young's modulus
E = 200 GPa, cross-sectional area A = 100 mm2, and length L = 100 mm. The
spring stiffness k = 200 kN/mm and the mass M = 100 kg. The natural frequency
of free vibration of the system is ________ rad/s (rounded off to the nearest
integer).
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2026 Q.59)**
**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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