Two upward forces are acting on a bolt. One force of 60.5lb acts at an angle of 82.4 above the horizontal and the other force of 37.2 lb acts at an angle of 50.5 below the first force. What is the total upward force?

Fv = 79.63 lb

The total upward force Fv is 79.63 lb

Step-by-step explanation:

We need to determine the total upward force, the y component of force;

Given;

Force F1 = 60.5 lb, 82.4° above horizontal

Force F2 = 37.2 lb, (82.4-50.5) ° above horizontal

The vertical component of Force F1 and F2 is;

Fv = 60.5sin (82.4) + 37.2sin (82.4-50.5)

Fv = 79.63 lb

The total upward force Fv is 79.63 lb