A person on horseback is on a drawbridge which is at an angle ? = 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 ℓ = 7.01 m long and has a mass of 2,020 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 1,120 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. (a) Determine the tension in the cable (in N). (b) Determine the horizontal force component (in N) acting on the bridge at the hinge. (c) Determine the vertical force component (in N) acting on the bridge at the hinge.
A person on horseback is on a drawbridge which is at an angle ? = 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 ℓ = 7.01 m long and has a mass of 2,020 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 1,120 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. (a) Determine the tension in the cable (in N). (b) Determine the horizontal force component (in N) acting on the bridge at the hinge. (c) Determine the vertical force component (in N) acting on the bridge at the hinge.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
A person on horseback is on a drawbridge which is at an angle ? = 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 ℓ = 7.01 m long and has a mass of 2,020 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 1,120 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.
(a)
Determine the tension in the cable (in N).
(b)
Determine the horizontal force component (in N) acting on the bridge at the hinge.
(c)
Determine the vertical force component (in N) acting on the bridge at the hinge.
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