Conditions of equilibrium Three friends tie three ropes in a knot and pull on t...

Conditions of equilibrium

Three friends tie three ropes in a knot and pull on the ropes in different directions. Adrienne (rope 1) exerts a 20-N force in the positive x-direction, and Jim (rope 2) exerts a 40-N force at an angle 53° above the negative x-axis. Luis (rope 3) exerts a force that balances the first two so that the knot does not move. (a) Construct a force diagram for the knot. (b) Use equilibrium conditions to write equations that can be used to determine F_{L on K x} and F_{L on K y}. (c) Use equilibrium conditions to write equations that can be used to determine the magnitude and direction of