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A vertical pole supports a horizontal cable CD and is supported by a ball-and-socket joint at A as shown in the figure below. Cable CD is parallel to the x-z plane (which implies that a vector from C to D has no y-component) and is oriented at an angle : = 20° from the x-y plane. The distances are given as h = 10 m, b = 6 m, a = 9 m, and d = 4 m. D C a B x Determine the following forces for this system if there is a 15 kN tension carried in cable CD. Report all answers in units of kN with 1 decimal place of precision. For the components of the reaction at A, be sure to use a positive or negative sign to indicate the direction of the force (negative signs if the force acts in the negative axial direction). The magnitude of the tension force in cable BE, TBE = 4.1 KN The magnitude of the tension force in cable BF, TBF = 41.1 KN The x-component of the reaction at joint A, Ax = 309.C KN ®®®® F The y-component of the reaction at joint A, Ay = -216. KN The z-component of the reaction at joint A, A₂ = 14.6 KN

A vertical pole supports a horizontal cable CD and is supported by a ball-and-socket joint at A as shown in the figure below. Cable CD is parallel to the x-z plane (which implies that a vector from C to D has no y-component) and is oriented at an angle : = 20° from the x-y plane. The distances are given as h = 10 m, b = 6 m, a = 9 m, and d = 4 m. D C a B x Determine the following forces for this system if there is a 15 kN tension carried in cable CD. Report all answers in units of kN with 1 decimal place of precision. For the components of the reaction at A, be sure to use a positive or negative sign to indicate the direction of the force (negative signs if the force acts in the negative axial direction). The magnitude of the tension force in cable BE, TBE = 4.1 KN The magnitude of the tension force in cable BF, TBF = 41.1 KN The x-component of the reaction at joint A, Ax = 309.C KN ®®®® F The y-component of the reaction at joint A, Ay = -216. KN The z-component of the reaction at joint A, A₂ = 14.6 KN

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter18: Mathematics In Engineering
Section: Chapter Questions
Problem 21P
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A vertical pole supports a horizontal cable CD and is supported by a ball-and-socket joint at A as shown in the figure below. Cable CD is parallel to the x-z plane (which implies that a vector from C to D has no y-component) and is oriented at an angle : = 20° from the x-y plane. The distances are given as h = 10 m, b = 6 m, a = 9 m, and d = 4 m. D C a B x Determine the following forces for this system if there is a 15 kN tension carried in cable CD. Report all answers in units of kN with 1 decimal place of precision. For the components of the reaction at A, be sure to use a positive or negative sign to indicate the direction of the force (negative signs if the force acts in the negative axial direction). The magnitude of the tension force in cable BE, TBE = 4.1 KN The magnitude of the tension force in cable BF, TBF = 41.1 KN The x-component of the reaction at joint A, Ax = 309.C KN ®®®® F The y-component of the reaction at joint A, Ay = -216. KN The z-component of the reaction at joint A, A₂ = 14.6 KN
Transcribed Image Text:A vertical pole supports a horizontal cable CD and is supported by a ball-and-socket joint at A as shown in the figure below. Cable CD is parallel to the x-z plane (which implies that a vector from C to D has no y-component) and is oriented at an angle : = 20° from the x-y plane. The distances are given as h = 10 m, b = 6 m, a = 9 m, and d = 4 m. D C a B x Determine the following forces for this system if there is a 15 kN tension carried in cable CD. Report all answers in units of kN with 1 decimal place of precision. For the components of the reaction at A, be sure to use a positive or negative sign to indicate the direction of the force (negative signs if the force acts in the negative axial direction). The magnitude of the tension force in cable BE, TBE = 4.1 KN The magnitude of the tension force in cable BF, TBF = 41.1 KN The x-component of the reaction at joint A, Ax = 309.C KN ®®®® F The y-component of the reaction at joint A, Ay = -216. KN The z-component of the reaction at joint A, A₂ = 14.6 KN
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