A person on horseback is on a drawbridge which is at an angle e = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is e = 7.05 m long and has a mass of 1,960 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,240 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Determine the tension in the cable (in N). (b) Determine the horizontal force component (in N) acting on the bridge at the hinge. magnitude direction to the right v (c) Determine the vertical force component (in N) acting on the bridge at the hinge. magnitude direction upwards

A person on horseback is on a drawbridge which is at an angle e = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is e = 7.05 m long and has a mass of 1,960 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,240 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Determine the tension in the cable (in N). (b) Determine the horizontal force component (in N) acting on the bridge at the hinge. magnitude direction to the right v (c) Determine the vertical force component (in N) acting on the bridge at the hinge. magnitude direction upwards

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 73P: A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = = 4.00...

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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.
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