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Two masses m, M lie on cach side of a smooth wedge (sce Figure), connected
by a string passing over a frictionless pulley. The wedge faces make angles
8, = 53° and 82 = 47° to the horizontal respectively. What value must the
ratio M/m take so that the masses remain stationary? What is the tension in
the string in this case, in terms of m, g?

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