6. A uniform beam 5.0 m long with mass 10.0 kg is hinged at a wall. The outer end is supported by a guy wire making an angle of 30.0¯ with the horizontal beam, and an object of mass 20.0 kg is hung on the beam at a point 4.5 m from the wall as shown in the diagram. Find the tension in the guy wire and the vertical and horizontal components of the force exerted on the beam hinge by the wall.

7. A uniform ladder 10.0 m long, with a mass of 20.0 kg, rests against a smooth wall and on a rough floor, with the base of the ladder 6.0 m from the wall. An 80-kg man has climbed the ladder to 8.0 m along the ladder from the bottom. Find the horizontal force that the floor must supply to keep the ladder from slipping.

8. An object with a weight of 15.0 N is suspended by ropes from two points as shown in the drawing. Draw a free- body diagram and solve for the tensions in ropes A and B.