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A uniform ladder of length L leans against a smooth (no friction) wall. The floor is also smooth (no friction) and the ladder makes an angle of Theta-0 with the floor when the ladder is installed at rest.

a) Before the ladder leaves the wall, express the equations of motion of the ladder in terms of a single generalized coordinate.

b) Find a constant of the motion.

c) Find the angel theta at which the ladder leaves the wall.

EDIT:

By the way, the idea is that the ladder accumulates some momentum in the horizontal, the way its motion is, and because of that it detaches from the wall rather than sliding all the way down against it.

a) Before the ladder leaves the wall, express the equations of motion of the ladder in terms of a single generalized coordinate.

b) Find a constant of the motion.

c) Find the angel theta at which the ladder leaves the wall.

EDIT:

By the way, the idea is that the ladder accumulates some momentum in the horizontal, the way its motion is, and because of that it detaches from the wall rather than sliding all the way down against it.

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