Minimum Angle

Classical Mechanics Level pending

A ladder is leaning against the wall. The coefficient of static friction $$μ_{sw}$$ between the ladder and wall is $$0.3,$$ and the coefficient of static friction $$μ_{sf}$$ between the ladder and floor is $$0.4.$$ The center of mass of the ladder lies exactly in the middle of it.

Find the minimum angle that the ladder can form with the floor without slipping.

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