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QUESTION

A force table is a circular table with a small ring that is to be balanced in the center of the table.

A force table is a circular table with a small ring that is to be balanced in the center of the table. The ring is attached tothree hanging masses by strings of negligible mass that pass over frictionless pulleys mounted on the edge of the table.The magnitude and direction of each of the three horizontal forces acting on the ring can be adjusted by changing theamount of each hanging mass and the position of each pulley, respectively. Given a mass m1 = 0.054 kg pulling in thepositive x-direction, and a mass m2 = 0.084 kg pulling in the positive y-direction, find the mass (m3) and the angle θthat will balance the ring in the center of the table.

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