A uniform plank 8.00 m in length with mass 40.0 kg is supported at two points located 1.00 m and 5.00 m, respectively, from the left-hand end. What is the maximum additional mass you could place on the right-hand end of the plank and have the plank still be at rest?

A 520-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 140-N rod as indicated in the figure below. The left end of the rod is supported by a hinge, and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) 30.0° T ICE CREAM SHOP (a) Find the tension T in the cable. (Give the magnitude of the tension.) N (b) Find the horizontal and vertical components of force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) horizontal component N vertical component N

A uniform bar with a length of 6.88 meters and a mass of 29 kg is attached to a building by an axis at its left end. A box of mass 38.4 kg sits on the bar at a distance of 2.4 m from the left end. The right end of the bar is supported by a cable with a 477.81 N of tension that is also attached to the building. The angle between the cable and the bar is 34.9°. Determine the Fv, the vertical force on the bar by the wall (in N).

A uniform beam has a length of 15.2 m and a mass of 37.3 kg. The beam is horizontal and resting (in equilibrium) on two supports. One of the supports is located 4.09m to the right of the beam's center of mass. The second support is located 1.96 m to the left of the beam's center of mass. How much upward force is exerted on the beam by the first support?