A lightweight diving board is supported by two pillars. One is at the end of the board and the other is 3.55 m away. A 75-kg person is standing on the board at such a location that the pillar at the end (pillar #1) of the board exerts a 790-N force downward. Determine the following. (a) distance the person is standing from the end pillar (pillar #1) m (b) magnitude of the upward force exerted by the second pillar (pillar #2) Additional Materials O Reading

A lightweight diving board is supported by two pillars. One is at the end of the board and the other is 3.55 m away. A 75-kg person is standing on the board at such a location that the pillar at the end (pillar #1) of the board exerts a 790-N force downward. Determine the following. (a) distance the person is standing from the end pillar (pillar #1) m (b) magnitude of the upward force exerted by the second pillar (pillar #2) Additional Materials O Reading

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Rotational Dynamics

Section: Chapter Questions

Problem 8WUE: A horizontal plank 4.00 m long and having mass 20.0 kg rests on two pivots, one at the left end and...

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A horizontal plank 4.00 m long and having mass 20.0 kg rests on two pivots, one at the left end and a second 1.00 m from the right end. Find the magnitude of the force exerted on the plank by the second pivot. (See Section 8.4.)
A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = = 4.00 m. A painter of mass m = 70.0 kg stands on the ladder d = 3.00 m from the bottom. Assuming the floor is frictionless, find (a) the tension in the horizontal bar DE connecting the two halves of the ladder, (b) the normal forces at A and B, and (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately.
A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = ℓ. A painter of mass m stands on the ladder a distance d from the bottom. Assuming the floor is frictionless, find (a) the tension in the horizontal bar DE connecting the two halves of the ladder, (b) the normal forces at A and B, and (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately. Figure P10.73 Problems 73 and 74.
A diving board 3.00 m long is supported at a point 1.00 m from the end, and a diver weighing 500 N stands at the free end. The diving board is of uniform cross section and weighs 280 N. Find (a) the force at the support point and (b) the force at the left-hand end.
A 650-N billboard worker stands on a 4.05-m scaffold weighing 600 N and supported by vertical ropes at each end. How far would the worker stand from one of the supporting ropes to produce a tension of 660 N in that rope?
A 49.4 kg man walks to the end of a 34.0 kg, 12.6 m long diving board, that is being supported at two points separated by a distance X = 3.73 m. How big of a force is needed on the far left side, so that the diver can make it to the end of the board? What is the force on the support closer to the center of the board, when the diver is at the end of the board?
A uniform bridge span weighs 50 103 N and is 40.0 m long. An automobile weighing 15 103N is parked with its center of gravity located 12.0 m from the right pier. Where is the center of mass of the bridge-automobile combination located as measured from the left pier?
A hiker, wo weights 911 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 3440 N, and rests on two concrete supports, one of each end. He stops 1/5 of the way along the bridge. What is the magnitude of the force that a concrete support exerts on the bridge (a) at the near end and (b) at the far end?
A person carries a plank of wood 2.00 m long with one hand pushing down on it at one end with a force F1 and the other hand holding it up at .500 m from the end of the plank with force F2 . If the plank has a mass of 20.0 kg and its center of gravity is at the middle of the plank, what are the magnitudes of the forces F1 and F2 ?
A meter stick is pivoted at its 50cm mark but does not balance because of non-uniformities in its material that cause its center of gravity to be displaced from its geometrical center. However, when weights of 150g and 300g are placed at the 10cm and 75cm marks, respectively, balance is obtained. The weights are then interchanged, and balance is again obtained by shifting the pivot point to the 43cm mark. Find the mass of the meter stick and the location of its center of gravity.
Suppose the weight of the drawbridge in the figure is supported entirely by its hinges and the opposite shore, so that its cables are slack. The mass of the bridge is 2500 kg. What percent of the weight is supported by the opposite shore if the point of support is at the very end of the drawbridge? What is the magnitude, in newtons, of the force the hinges exert on the bridge under these circumstances?
A uniform horizontal beam with a length of ℓ = 8.00 m and a weight of Wb =200 N is attached to a wall by a pin connection. Its far end is supported by a cable that makes an angle of φ = 53.0° with the beam (as shown). A person of weight Wp = 600 N stands a distance d = 2.00 m from the wall. Find the tension in the cable as well as the magnitude and direction of the force exerted by the wall on the beam.