The 80-lb homogeneous plate is supported by a ball-and-socket joint at A, a slider hearing at B, and the cable CE. A 120-lb vertical force is applied to the corner D. Determine the force in the cable and the magnitude of the bearing reaction at B.
Force in cable and the magnitude of bearing reaction at B.
Answer to Problem 5.46P
Explanation of Solution
Given Information:
The 80-lb homogeneous plate is supported by a ball-socket joint at A, a slider bearing at B, and the cable CE. See figure below.
Calculation:
Draw free body diagram of as shown in following figure,
Forces and corresponding position vectors are listed in the following table,
Force | Position vector |
| |
Take equilibrium of moments about origin as,
Above vector equations gives following scalars equations,
Take equilibrium of forces as,
Above vector equations gives following scalars equations,
Solve equations (1-6) to get
The magnitude of reaction at B is
Conclusion:
Therefore,
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Chapter 5 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
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- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L