An archer aiming at a target is pulling with a 64-lb force on the bowstring. 8 in. -24 in.- B 16 in. 16 in. 32 in. D

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Archery Mechanics: Analyzing Forces in the Bow**

An archer aiming at a target is pulling with a 64-lb force on the bowstring.

**Diagram Explanation:**

The diagram shows an archer standing and holding a bow. The bow is drawn with a force of 64 lbs. The diagram includes measurements that relate to the positions and forces involved in the action:

- **A** is the point where the archer holds the bowstring.
- **B** is directly above A, 8 inches up.
- **C** is 24 inches to the right of A, at the midpoint of the bowstring.
- **D** is directly below point C, 32 inches down.
- Points **J** represents a point along the bow where internal forces will be analyzed, 16 inches above and below point C.

Assuming that the shape of the bow can be approximated by a parabola, determine the internal forces at point J.

1. **Axial Force \( F \)** at point J:
   (Enter value and angle)
   
2. **Shear Force \( V \)** at point J:
   (Enter value and angle)
   
3. **Bending Moment \( M \)** at point J:
   (Enter value and angle)
Transcribed Image Text:**Archery Mechanics: Analyzing Forces in the Bow** An archer aiming at a target is pulling with a 64-lb force on the bowstring. **Diagram Explanation:** The diagram shows an archer standing and holding a bow. The bow is drawn with a force of 64 lbs. The diagram includes measurements that relate to the positions and forces involved in the action: - **A** is the point where the archer holds the bowstring. - **B** is directly above A, 8 inches up. - **C** is 24 inches to the right of A, at the midpoint of the bowstring. - **D** is directly below point C, 32 inches down. - Points **J** represents a point along the bow where internal forces will be analyzed, 16 inches above and below point C. Assuming that the shape of the bow can be approximated by a parabola, determine the internal forces at point J. 1. **Axial Force \( F \)** at point J: (Enter value and angle) 2. **Shear Force \( V \)** at point J: (Enter value and angle) 3. **Bending Moment \( M \)** at point J: (Enter value and angle)
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