More 2D Equilibrium Problems Practice Problems

Cranes lift objects using the boom. A 10,000 N boom is pivoted about a frictionless axle at its lower end. A cable attached at 5.0 m from the upper end making an angle of 18° is used to support the boom. The boom is 25 m long and non-regular. The center of gravity is located 11 m from the axle measured parallel to the boom. The boom is directed at 60° above the horizontal, suspending a 4500 N container using a 1.8 m long massless rope. What is the tension in the cable?

An object is tied using three wires. The object is extremely small and lightweight and is in static equilibrium. Using the given figure calculate the third wire's tension (magnitude and direction).