1. Consider a vertical plane in a constant gravitational field. Let the origin of acoordinate system be located at some point in this plane. A particle of mass m movesin the vertical plane under the influence of gravity and under the influence of anaddition force f = -Ar"- directed toward the origin (r is the distance from theorigin; A and a [#0 or 1] are constants). Choose appropriate generalized coordinates,and find the Lagrangian equations of motion (don't solve it). Is the angularmomentum about the origin conserved? Explain.

Given Data : Mass of particle = m Forces acting on the particle = gravitational force + f To find :…

Answered: Consider a vertical plane in a constant…

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