A person on horseback is on a drawbridge which is at an angle 8 = 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 = 7.09 m long and has a mass of 1,920 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 1,260 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.) ITALIH TCHTAI HHUTA (a) Determine the tension in the cable (in N). N (b) Determine the horizontal force component (in N) acting on the bridge at the hinge. magnitude N direction --Select-v O (c) Determine the vertical force component (in N) acting on the bridge at the hinge. magnitude N direction -Select-

A person on horseback is on a drawbridge which is at an angle 8 = 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 = 7.09 m long and has a mass of 1,920 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 1,260 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.) ITALIH TCHTAI HHUTA (a) Determine the tension in the cable (in N). N (b) Determine the horizontal force component (in N) acting on the bridge at the hinge. magnitude N direction --Select-v O (c) Determine the vertical force component (in N) acting on the bridge at the hinge. magnitude N direction -Select-

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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Center of Gravity of a system

The centre of gravity is a property that is based on the geometry of a rigid body or any particle. It is described as an equilibrium point or a hypothetical location where the total weight of the body is concentrated.

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 = 7.09 m long and has a mass of 1,920 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 1,260 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.)
ITALIACHTAI AVUTA É
(a) Determine the tension in the cable (in N).
N
(b) Determine the horizontal force component (in N) acting on the bridge at the hinge.
magnitude
direction
-Select-v
11.08
N
-Select--
(c) Determine the vertical force component (in N) acting on the bridge at the hinge.
magnitude
N
direction

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Step 1: Given data

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Step 2: Using balancing condition and taking momentum at hinge and find tension T

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Step 3: Using balancing condition and find equation in terms of x-component and y-component

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Step 4: Solving equation and find value of x-component and y-component of the forces

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Step 5: Direction of the force on the hinge

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