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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