A single degree-of-freedom spring-mass-damper system has viscous damping ratio
of 0.1. The mass is given an initial displacement of 10 cm without imparting any
velocity. After exactly two complete cycles of oscillation (i.e., after time 2
dT , where
dT
is the period of the damped vibration) , the amplitud e of the displacement is
______ cm. (round off to two decimal place)
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.51)**
**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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