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5-7 A particle of mass m moves under the action of gravity on the surface of...

5-7 A particle of mass m moves under the action of gravity on the surface of a horizontal cylinder.

a) Obtain the Lagrange motion equations for the particle.

b) If the particle slides in a vertical plane having left the top of the cylinder at a very small speed, find the reaction force as a function of the position.

c) At what point will the cylinder particle separate?

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