Question

balance forces by hanging masses from strings stretched across pulleys on a horizontal force table
a) If 50 g is suspended at 15°, and 75 g is suspended at 135°, what mass must be suspended at what angle to balance these two forces?
b) If 45 g is suspended at 25°, 105 g is suspended at 85°, and 65 g is suspended at 330°, what mass must be suspended at what angle to balance these three forces?