A question on finding trajectory of a particle

JEE Main Questions › Mechanics questions › A question on finding trajectory of a particle

Kindly help in solving this problem:
A particle is placed on a rough plane inclined at an angle theta, where tan Î¸ = Î¼ = coefficient of friction(both static an dynamic). A string attached to the particle passes through a small hole in the plane. The string is pulled so slowly that you may consider the particle to be in static equilibrium at all times. Find the path of the particle on the inclined plane.

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