particle of mass m is constrained to move under gravity on a smooth surface given by the equation: h(x, y) = x2 + y2 − xy. a) Use the Lagrangian formalism to find the equations of motion for the particle. b) Consider small oscillations about the orgin, what are the frequencies for teh normal modes? (c) If one is to release the mass close to the origin, what must be the ratio between the x and y displacements so that only the higher frequency normal mode oscillation will be e

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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,