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Determine the magnitude and location of the resultant of the force system acting on the beam shown below. Use point O as the reference point. Neglect the weight of the beam.

Determine the magnitude and location of the resultant of the force system acting on the beam shown below. Use point O as the reference point. Neglect the weight of the beam.

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Determine the magnitude and location of the resultant of the force system acting on the beam shown below. Use point O as the reference point. Neglect the weight of the beam.
In the diagram of the beam shown, point \( O \) is the reference point. The beam experiences multiple forces and a distributed load. - \( F_1 = 60N \) is applied 2 meters from point \( O \). - \( F_2 = 50N \) is applied 4 meters from \( F_1 \). - The distributed load, \( w = 10N/m \), extends over a length of 6 meters. - \( F_3 = 30N \) is applied 6 meters from the right end of the distributed load. The total length of the beam with the distributed load is 6 meters, extending to the right of \( F_2 \). The distributed load is represented by a series of downward arrows indicating the uniform distribution over the specified length. The objective is to analyze the beam under these loading conditions for resultant forces, moments, and reactions, using equilibrium equations if necessary.
Transcribed Image Text:In the diagram of the beam shown, point \( O \) is the reference point. The beam experiences multiple forces and a distributed load. - \( F_1 = 60N \) is applied 2 meters from point \( O \). - \( F_2 = 50N \) is applied 4 meters from \( F_1 \). - The distributed load, \( w = 10N/m \), extends over a length of 6 meters. - \( F_3 = 30N \) is applied 6 meters from the right end of the distributed load. The total length of the beam with the distributed load is 6 meters, extending to the right of \( F_2 \). The distributed load is represented by a series of downward arrows indicating the uniform distribution over the specified length. The objective is to analyze the beam under these loading conditions for resultant forces, moments, and reactions, using equilibrium equations if necessary.
Expert Solution
Step 1

Given:

Need to find the magnitude and location of the Resultant force acting at the reference point O in the given beam shown in the question.

F1 = 60N

F2 = 50 N

F3 = 30 N

F4=w×d=10×6=60N

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