The GATE Grind

GATE Classical Mechanics: small oscillations: coupled oscillations and normal modes – Previous Year Questions

4 GATE previous year questions on small oscillations: coupled oscillations and normal modes (Classical Mechanics, Physics) with answers and explanations, from every paper.

  1. GATE 2022 PH Q46 (2 marks, Multiple choice) – A piston of mass m is fitted to an airtight horizontal cylindrical jar. The cylinder and piston have identical unit area of cross-section. The gas…
  2. GATE 2026 PH Q64 (2 marks, Numerical answer) – Two 1 kg blocks are connected to massless springs of stiffness 8 N/m and 4 N/m on a frictionless floor, as shown, with one spring end fixed to a wall.…
  3. GATE 2025 PH Q38 (2 marks, Multiple choice) – The figure shows a system of two equal masses m and three massless horizontal springs with spring constants k1 , k2 , k1. Ignore gravity. The masses…
  4. GATE 2024 PH Q41 (2 marks, Multiple choice) – x+2x=F( t), with x(0)= x(0)=0. Which is correct?