A patient with a broken tibia has the lower half of his leg suspended horizontally by a cable attached to the center of his foot. The tension in the cable needs to exert a force of F, = 25 N horizontally for traction and F, = 30 N vertically upward to support the leg. Find the magnitude of the tension in the cable. Hint: Put the center of the patient's foot at the origin of the xy-plane. Pulley F₂ (Give your answer to one decimal place. Use symbolic notation and fractions where needed.)

A patient with a broken tibia has the lower half of his leg suspended horizontally by a cable attached to the center of his foot. The tension in the cable needs to exert a force of F, = 25 N horizontally for traction and F, = 30 N vertically upward to support the leg. Find the magnitude of the tension in the cable. Hint: Put the center of the patient's foot at the origin of the xy-plane. Pulley F₂ (Give your answer to one decimal place. Use symbolic notation and fractions where needed.)