GATE Classical Mechanics: D'Alembert's principle, Euler-Lagrange equation, Hamilton's principle, calculus of variations – Previous Year Questions
5 GATE previous year questions on D'Alembert's principle, Euler-Lagrange equation, Hamilton's principle, calculus of variations (Classical Mechanics, Physics) with answers and explanations, from every paper.
- GATE 2022 PH Q41 – A particle of mass 1 kg is released from a height of 1 m above the ground. When it reaches the ground, what is the value of Hamilton’s action for this…
- GATE 2026 PH Q16 – On a horizontal plane, a projectile of mass m is launched from the ground with speed v 0 at an angle 0 with the horizontal. In addition to the…
- GATE 2026 PH Q28 – A projectile of mass m is launched from the ground with the initial speed v 0 at an angle 30° from the horizontal. Take the ground to be horizontal.…
- GATE 2026 PH Q46 – The Lagrangian L 0=12m q2-12m2q2 with the generalized coordinate q is transformed to L=L 0+df(q)dt. Consider the following statements: (i) Expression…
- GATE 2024 PH Q60 – L=m x2/2- x4 with positive lambda. At total energy E, T=a 0(E/)1/4dx(2/m)(E- x4). The integer a is