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A 30⁰ 1 m D 3 m Figure 2 B A beam AB, of mass 20 kg and length 3 m, is smoothly hinged to a vertical wall at one end A. The beam is held in equilibrium in a horizontal position by a rope of length 1 m. One end of the rope is fixed to a point C' on the wall which is vertically above A. The other end of the rope is fixed to the point D on the beam so that angle ACD is 30°, as shown in Figure 2. The beam is modelled as a uniform rod and the rope is modelled as a light inextensible string. Using the model, find the tension in the rope.

A 30⁰ 1 m D 3 m Figure 2 B A beam AB, of mass 20 kg and length 3 m, is smoothly hinged to a vertical wall at one end A. The beam is held in equilibrium in a horizontal position by a rope of length 1 m. One end of the rope is fixed to a point C' on the wall which is vertically above A. The other end of the rope is fixed to the point D on the beam so that angle ACD is 30°, as shown in Figure 2. The beam is modelled as a uniform rod and the rope is modelled as a light inextensible string. Using the model, find the tension in the rope.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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30⁰ 1m D 3 m Figure 2 B A beam AB, of mass 20 kg and length 3 m, is smoothly hinged to a vertical wall at one end A. The beam is held in equilibrium in a horizontal position by a rope of length 1 m. One end of the rope is fixed to a point Con the wall which is vertically above A. The other end of the rope is fixed to the point D on the beam so that angle ACD is 30°, as shown in Figure 2. The beam is modelled as a uniform rod and the rope is modelled as a light inextensible string. Using the model, find the tension in the rope.
Transcribed Image Text:30⁰ 1m D 3 m Figure 2 B A beam AB, of mass 20 kg and length 3 m, is smoothly hinged to a vertical wall at one end A. The beam is held in equilibrium in a horizontal position by a rope of length 1 m. One end of the rope is fixed to a point Con the wall which is vertically above A. The other end of the rope is fixed to the point D on the beam so that angle ACD is 30°, as shown in Figure 2. The beam is modelled as a uniform rod and the rope is modelled as a light inextensible string. Using the model, find the tension in the rope.
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