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?
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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?
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- 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 NA 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?
- L = 2.0 m A diver with a mass of 43 kg is standing 1.3 m from the left end of a diving board. This diving board has a mass of 83 kg and a length of 2 meters. It is supported by a pillar that is 0.5 m from the left end (labeled F, in the figure) and a bolt that holds the left end down (labeled F2 in the figure). What is the magnitude of the force from the pillar, labeled F1. F = What is the magnitude of the force from the end of the board, labeled F2. F2 = What position could the diver stand at to make both F, and F2 a minimum? 3:45 PMA uniform 8.00 m, 1500 kg beat is hinged to a wall and supported by a thin cable attached 2.00 m from the free end of the beam. The beam is fixed to the wall by a hinge at an angle of 30.0 degrees above the horizontal. The angle between the cable and the beam is 40 degrees. What is the direction of the torque exerted by the beam around the point where the cable is attached? -clockwise -counterclockwiseA 45.1 kg man is walking on a 147 kg uniform beam that is attached 19.0 m below the top of a building and is 21.2 m long. If a wire is attached to both the top of the building and end of the beam, and is able to handle 1.52E3 N of tension, how close to the end can the man walk before the wire breaks?