1. A patient with neck injuries needs to sit upright and with a constant force applied vertically upwards to his collar, using the cable and pulley system. If w = 100 N; What net ascending force does this system exert on the collar?

drawing the force diagram, identifying the forces, and free body diagram.

\fData Page P is the reaction on the collar F is the applied force ( 10ON ) Tis the tension in the cable T V T The magnitude of the tension in each cable is the same let's Apply the first condition of eduilibin um at the top of the system ( Point A ), to determine the value of the tension in each cable EFy = 0 F - 2 T Cosyo' = 0Page 2 LOS 40' 10 0 N 2 60540 = 65 . 27 N let us apply the first cond of static equilibrium at the bottom of the system ( Point B) , to determine the magnitude of the reaction ? in the collor E f y = 0 2 T Sin 60 ' - P = Q P = 2 T Sin60 ' = 2 ( 65 . 27 N) Sim bo- = 113 N The net upward force that the system exerts on the collar is numerically equal to the reaction force ,the value of which is about 113 N