Consider the following figure. A beam with a length of 3.0 m and a mass of 100 kg is held by two supports. A student with a mass of 80 kg is standing on the beam 1 m away from the second support. Determine the forces F1 and F2. F₁ 2m Wbeam W. 1m student

Question
Consider the following figure. A beam with a length of 3.0 m and a mass of 100 kg is held by two supports. A student with a mass of 80 kg is standing on the beam 1 m away from the second support. Determine the forces \( F_1 \) and \( F_2 \).

**Diagram Explanation:**

- The diagram illustrates a beam supported at two points, labeled as \( F_1 \) and \( F_2 \). 
- The beam is horizontally oriented with a total length of 3.0 meters.
- There are two triangular supports at each end of the beam.
- The distance from the left support (\( F_1 \)) to the student is 2 meters.
- The student is depicted standing on the beam, 1 meter from the right support (\( F_2 \)).
- A downward arrow labeled \( \vec{W}_{\text{beam}} \) represents the weight of the beam, and another downward arrow labeled \( \vec{W}_{\text{student}} \) represents the weight of the student.
- \( \vec{W}_{\text{beam}} \) is located at the midpoint of the beam, indicating the center of gravity.
- \( F_1 \) and \( F_2 \) are the upward forces exerted by the supports.
Transcribed Image Text:Consider the following figure. A beam with a length of 3.0 m and a mass of 100 kg is held by two supports. A student with a mass of 80 kg is standing on the beam 1 m away from the second support. Determine the forces \( F_1 \) and \( F_2 \). **Diagram Explanation:** - The diagram illustrates a beam supported at two points, labeled as \( F_1 \) and \( F_2 \). - The beam is horizontally oriented with a total length of 3.0 meters. - There are two triangular supports at each end of the beam. - The distance from the left support (\( F_1 \)) to the student is 2 meters. - The student is depicted standing on the beam, 1 meter from the right support (\( F_2 \)). - A downward arrow labeled \( \vec{W}_{\text{beam}} \) represents the weight of the beam, and another downward arrow labeled \( \vec{W}_{\text{student}} \) represents the weight of the student. - \( \vec{W}_{\text{beam}} \) is located at the midpoint of the beam, indicating the center of gravity. - \( F_1 \) and \( F_2 \) are the upward forces exerted by the supports.
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