Vibrations GATE ME PYQ Topic Wise (2016–2026)

Explore: All GATE ME topics · GATE ME Applied Mechanics and Design PYQs · GATE ME hub · Syllabus & pattern · GATE ME 2026

Answer first

Vibrations PYQs (previous year questions) for GATE ME: Vibrations (Applied Mechanics and Design) had 22 questions across the 11 official GATE ME papers we tagged (2016–2026), and appeared in 11 of them. Asked in 11 of 11 years. The concepts asked in the most papers: Damped Vibration, Natural Frequency, Forced Vibration.

Year-wise question count

Asked in 11 of 11 years.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

How to practise Vibrations PYQs

1. Start with the concepts at the top of the table. They have come back the most.
2. Solve one year’s Vibrations questions from the official PDF against the clock, then check the answer listed below.
3. Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
4. Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.

Questions by year

Each line gives the question number, type, concept, our one-line summary and the official answer, with a link to the official PDF.

GATE ME2026

• Q.18 · MCQ · Damped Vibration: Logarithmic decrement from damping coefficients (official answer: A) PDF
• Q.42 · MCQ · Free Vibration: Natural frequency of a mass on an overhanging beam (official answer: A) PDF

GATE ME2025

• Q.35 · NAT · Damped Vibration: Damping ratio equal to damped-to-natural frequency ratio (official answer: 0.70–0.72) PDF
• Q.42 · MCQ · Free Vibration: Natural frequency of a cantilever-spring-mass system (official answer: A) PDF

GATE ME2024

• Q.25 · MCQ · Damped Vibration: Damping coefficient from successive amplitudes (official answer: A) PDF
• Q.55 · NAT · Forced Vibration: Resonant driving frequency of a spring-pulley-mass system (official answer: 29–31) PDF

GATE ME2023

• Q.30 · NAT · Free Vibration: Time for ten oscillations of a two-spring mass system (official answer: 6.27–6.29) PDF

GATE ME2022

• Q.32 · NAT · Compound Pendulum: Period factor for an annular disc oscillating on a knife edge (official answer: 2.62–2.70) PDF
• Q.39 · MCQ · Forced Vibration: Order of peak-response, damped and natural frequencies (official answer: A) PDF

GATE ME2021

• Q.25 · NAT · Damped Vibration: Damping ratio from amplitude decay over cycles (official answer: 0.085–0.090) PDF
• Q.30 · MCQ · Lagrangian Mechanics: Lagrangian of a cart with a pendulum rod (official answer: B) PDF
• Q.32 · MCQ · Natural Frequency: Cam speed causing resonance in a rocker valve system (official answer: B) PDF

GATE ME2020

• Q.7 · MCQ · Damped Vibration: Damping factor from an equation of motion (official answer: B) PDF
• Q.37 · NAT · Natural Frequency: Natural frequency of a floating hollow ball (official answer: 8.60–8.70) PDF

GATE ME2019

• Q.6 · MCQ · Natural Frequency: Ratio of natural frequencies of two spring arrangements (official answer: B) PDF
• Q.43 · NAT · Natural Frequency: Natural frequency of a rolling disc with two springs (official answer: 23.0–24.0) PDF

GATE ME2018

• Q.7 · MCQ · Forced Vibration: Excitation frequency at which resonance occurs (official answer: D) PDF
• Q.40 · NAT · Vibration Isolation: Dynamic force transmitted by each machine mount (official answer: 33.00–33.50) PDF

GATE ME2017

• Q.18 · MCQ · Damped Vibration: Expression for damping ratio of a spring-mass-damper (official answer: B) PDF
• Q.46 · MCQ · Natural Frequency: Natural frequency of a hinged bar with springs and mass (official answer: B) PDF

GATE ME2016

• Q.11 · NAT · Forced Vibration: Resonant amplitude of a damped spring-mass system (official answer: 19.9–20.1) PDF
• Q.37 · MCQ · Natural Frequency: Natural frequency of rolling disc with offset spring (official answer: A) PDF

Other Applied Mechanics and Design topics

• Engineering Mechanics PYQs
• Mechanics of Materials PYQs
• Theory of Machines PYQs
• Machine Design PYQs

FAQ

How many Vibrations questions come in GATE ME?

In the official papers we tagged: 2 in 2026, 2 in 2025, 2 in 2024, 1 in 2023, 2 in 2022, 3 in 2021, 2 in 2020, 2 in 2019, 2 in 2018, 2 in 2017 and 2 in 2016. That is 22 questions in all, about 13% of Applied Mechanics and Design.

Which Vibrations topics repeat in GATE ME?

Asked in the most papers: Damped Vibration, Natural Frequency, Forced Vibration. The concept table lists every one with its count.

Are these official GATE ME questions?

Yes. Every question is from an official GATE ME paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.