GATE Vibrations: Free vibration of single degree of freedom systems, damping – Previous Year Questions

7 GATE previous year questions on Free vibration of single degree of freedom systems, damping (Vibrations, Mechanical Engineering) with answers and explanations, from every paper.

GATE 2022 ME (ME1) Q32 (1 mark, Numerical answer) – A rigid uniform annular disc is pivoted on a knife edge A in a uniform gravitational field as shown, such that it can execute small amplitude simple…
GATE 2023 ME Q30 (1 mark, Numerical answer) – The figure shows a block of mass m = 20 kg attached to a pair of identical linear springs, each having a spring constant k = 1000 N/m. The block…
GATE 2024 ME Q25 (1 mark, Multiple choice) – A linear spring-mass-dashpot system with a mass of 2 kg is set in motion with viscous damping. If the natural frequency is 15 Hz, and the amplitudes…
GATE 2025 ME Q35 (1 mark, Numerical answer) – A block of mass 1 kg connected to a spring of stiffness 10 N m-1 is operating in a viscous medium such that the damping ratio (or damping factor) is…
GATE 2025 ME Q42 (2 marks, Multiple choice) – The system shown in the figure below consists of a cantilever beam (with flexural rigidity EI and negligible mass), a spring (with spring constant K…
GATE 2026 ME Q18 (1 mark, Multiple choice) – In a single degree of freedom vibrating system with only viscous damping, the critical damping coefficient is 350 N s/m and the damping coefficient is…
GATE 2026 ME Q42 (2 marks, Multiple choice) – A 5 kg mass is suspended at the free end of an overhanging massless beam, having a pin support and a roller support, as shown in the figure below.…