A laboratory exercise on the concept of static equilibrium uses an apparatus called a force table. The force table consists of a round, level platform marked in degree increments about its circumference. In the center of the table sits a massless ring, to which three strings are tied. Each string is strung over a separate pulley clamped to the edge of the platform and then tied to a freely hanging mass, so that each string is under tension and the ring is suspended parallel to the tablesurface.

There is a mass of1=161glocated at1=22.5and a second mass of2=227glocated at2=291.Calculate the mass3m3and the location33(in degrees) that will balance the system and hold the ring stationary over the center of theplatform.

3=

3=