Chapter 8, Problem 5P

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 $F_{\text{L on Kx}}\text{ and }{F}_{\text{L on K y}}$. (c) Use equilibrium conditions to write equations that can be used to determine the magnitude and direction of ${\stackrel{\to }{F}}_{\text{L on K}}$.