A door has a height of 2.1 m along a y axis that extends vertically upward and a width of 1.08 m along an x axis that extends outward from the hinged edge of the door. A hinge 0.21 m from the top and a hinge 0.21 m from the bottom each support half the door's mass, which is 19 kg. In unit-vector notation, what are the forces on the door at (a) the top hinge and (b) the bottom hinge? (a) Number j Units (b) Number j Units

A door has a height of 2.1 m along a y axis that extends vertically upward and a width of 1.08 m along an x axis that extends outward from the hinged edge of the door. A hinge 0.21 m from the top and a hinge 0.21 m from the bottom each support half the door's mass, which is 19 kg. In unit-vector notation, what are the forces on the door at (a) the top hinge and (b) the bottom hinge? (a) Number j Units (b) Number j Units

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 33PQ: Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a...

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Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a wall with a hinge pin. The other end is supported by a cable making the angles shown in Figure P14.33. Find the tension in the cable. FIGURE P14.33 Problems 33 and 34.
A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm above the bottom of the door. The center of mass of the door is at its geometric center, and the weight of the door is 260 N, which is supported equally by both hinges. Find the horizontal force exerted by each hinge on the door.
a uniform beam with a weight of 60 N and a length of 3.2 m is hinged at its lower end, and a horizontal force of magnitude 50 N acts at its upper end.The beam is held vertical by a cable that makes angle u = 25° with the ground and is attached to the beam at height h = 2.0 m. What are (a) the tension in the cable and (b) the force on the beam from the hinge in unit-vector notation?
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A uniform horizontal beam 5.00 m long and weighting 3.03 102 N is attached to a wall by a pin connection that allows the beam to rotate. Its far end is supported by a cable that makes an angle of 53.0° with the horizontal (Figure (a)). If a person weighing 6.05 102 N stands 1.60 m from the wall, find the magnitude of the tension in the cable and the force exerted by the wall on the beam. T = N Rx = N Ry = N Even if we selected some other axis for the torque equation, the solution would be the same. For example, if the axis were to pass through the center of gravity of the beam, the torque equation would involve both T and Ry. Together with Equations (1) and (2), however, the unknowns could still be found—a good exercise. In this example, notice the steps of the Problem-Solving Strategy could be carried out in the explicit recommended order.QUESTION What happens to the tension in the cable if the man in Figure (a) moves farther away from the wall? The tension would…
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A uniform horizontal beam 5.00 m long and weighting 3.03 102 N is attached to a wall by a pin connection that allows the beam to rotate. Its far end is supported by a cable that makes an angle of 53.0° with the horizontal (Figure (a)). If a person weighing 6.05 102 N stands 1.60 m from the wall, find the magnitude of the tension in the cable and the force exerted by the wall on the beam. T = N Rx = N Ry = N
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