Two masses m1 and m2 are connected by a rope that runs over a pulley with a stat

Question

Two masses m1 and m2 are connected by a rope that runs over a pulley with a stationary axle as in the figure below. A second rope is attached to the rope between the masses m1 and m2 and to the wall such that it makes the angle theta with the wall and pi as shown; this rope has tension T. The system is stationary. Calculate the masses m1 and m2 as a function of the tension T, the angles theta and pi, and the acceleration due to gravity g. Ignore the friction between the pulley and the rope, and the masses of the pulley and the ropes.

Explanation / Answer

? = theta f = phi m1g = T cos? m1 = T/g cos? m2g cos(f-90) = T sin? m2 = T/g sin?/sinf

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