To test the deflection of the uniform  290-lb beam the 160-lb boy exerts a pull of  42 lb on the rope rigged as shown. Compute the force supported by the pin at the hinge O. O=? Lb.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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To test the deflection of the uniform  290-lb beam the 160-lb boy exerts a pull of  42 lb on the rope rigged as shown. Compute the force supported by the pin at the hinge O.

O=? Lb. 

The diagram illustrates a man standing on a rigid beam, which is supported by different structures and suspended over a gap. The following details are notable:

1. **Beam Description:**
   - The beam is displayed horizontally, supported at two points marked as \(O\) and \(A\).
   - The length from \(O\) (right support) to \(A\) (left support) is 6.8 feet.
   
2. **Support and Positions:**
   - The beam is balanced on a cylindrical support at point \(A\), which rests over a pulley system.
   - Another vertical pulley system supports the left end of the beam, 2.1 feet away from the left edge.
   - The right end of the beam extends 2.3 feet beyond the support at \(O\).

3. **Person Positioning:**
   - The man is positioned 3.4 feet from the left end of the beam.
   - He holds onto a cable, leading diagonally downward to a point away from the beam.

4. **Pulley Systems:**
   - There are two pulley systems shown beneath the beam:
     - The first pulley system is directly under the man, supporting with a cable.
     - The second pulley system is further left, anchoring the beam near its edge.

This setup demonstrates the principles of static equilibrium and balance, likely intended for educational purposes in physics or engineering contexts, highlighting leverage and mechanical advantage concepts.
Transcribed Image Text:The diagram illustrates a man standing on a rigid beam, which is supported by different structures and suspended over a gap. The following details are notable: 1. **Beam Description:** - The beam is displayed horizontally, supported at two points marked as \(O\) and \(A\). - The length from \(O\) (right support) to \(A\) (left support) is 6.8 feet. 2. **Support and Positions:** - The beam is balanced on a cylindrical support at point \(A\), which rests over a pulley system. - Another vertical pulley system supports the left end of the beam, 2.1 feet away from the left edge. - The right end of the beam extends 2.3 feet beyond the support at \(O\). 3. **Person Positioning:** - The man is positioned 3.4 feet from the left end of the beam. - He holds onto a cable, leading diagonally downward to a point away from the beam. 4. **Pulley Systems:** - There are two pulley systems shown beneath the beam: - The first pulley system is directly under the man, supporting with a cable. - The second pulley system is further left, anchoring the beam near its edge. This setup demonstrates the principles of static equilibrium and balance, likely intended for educational purposes in physics or engineering contexts, highlighting leverage and mechanical advantage concepts.
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