GATE_AE_2027_MOCK_02_Q34 GATE 2027 Aerospace Engineering All-India Master Mock 02 (Compressible Aerodynamics & High-Speed Propulsion) MCQ · 1 Mark
Aerospace Structures • Structural Dynamics & Aeroelasticity • Single & Multi-DOF Vibration Systems

The natural frequency of an undamped single-degree-of-freedom spring-mass system is $\omega_n = \sqrt{k/m}$. If the spring stiffness $k$ is quadrupled while mass $m$ remains unchanged, the natural frequency becomes:

(A) $2 \omega_n$
(B) $4 \omega_n$
(C) $16 \omega_n$
(D) $\omega_n / 2$
Answer Key:
A

Step-by-Step Verified Solution

### Solution: $\omega_n' = \sqrt{4k/m} = 2\sqrt{k/m} = 2\omega_n$. Correct: A.
← Prev Question Next Question →
Solve in CBT Simulator