Unequal Tug of War

A string of a negligible mass is supported at the ends, points A and D, by two vertical posts. At point B a 2-kg weight hangs from it, at point C a 1-kg weight. If the slope of the line BC is 1 and the two blue angles (between the string and the posts) are the same size, what is the slope of the line AB?


The answer is -3.0.

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