2/31 SS An experimental device imparts a force of mag- nitude F = 47 lb to the front edge of the rim at A to simulate the effect of a slam dunk. Determine the moments of the force F about point O and about point B. Finally, locate, from the base at O, a point C on the ground about which the force imparts zero moment. -36"- 0 B 12" PROBLEM 2/31 10'

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem 2/31**

An experimental device imparts a force of magnitude \( F = 47 \) lbs to the front edge of the rim at point \( A \) to simulate the effect of a slam dunk. 

**Objective**:
1. Determine the moments of the force \( F \) about point \( O \) and about point \( B \).
2. Locate, from the base at \( O \), a point \( C \) on the ground about which the force imparts zero moment.

**Diagram Explanation**:
The illustration shows a simplified diagram of a basketball hoop system with the following measured distances:
- The vertical distance from the ground to the rim at point \( A \) is \( 10' \).
- The horizontal distance from point \( O \) (the base) to point \( B \) is \( 36" \), and from point \( B \) to point \( A \) is \( 28" \).
- There is a vertical offset of \( 12" \) from point \( O \) to point \( B \).
- The force \( F \) is applied at an angle, described by the triangle with legs of ratio \( 4:3 \).

The force vector \( F \) is depicted with its line of action passing through point \( A \), indicating the dynamic nature of a slam dunk applied at the front edge of the rim.

**Analysis**:
1. **Calculating Moments**:
    - **Moment about point \( O \)**: Utilize the perpendicular distance between the line of action of force \( F \) and \( O \).
    - **Moment about point \( B \)**: Similarly, determine the perpendicular distance between the line of action of force \( F \) and \( B \).

2. **Determining Point \( C \)**:
    - Calculate the specific point on the ground at \( O \) such that the applied force \( F \) produces zero moment about this point. This involves considering the line of action of force \( F \) and its intersection/extension on the ground level.

Understanding these aspects can help in analyzing the effects of forces in structural or mechanical systems and aid in designing for robustness against specific dynamic actions such as slamming forces in sports equipment.
Transcribed Image Text:**Problem 2/31** An experimental device imparts a force of magnitude \( F = 47 \) lbs to the front edge of the rim at point \( A \) to simulate the effect of a slam dunk. **Objective**: 1. Determine the moments of the force \( F \) about point \( O \) and about point \( B \). 2. Locate, from the base at \( O \), a point \( C \) on the ground about which the force imparts zero moment. **Diagram Explanation**: The illustration shows a simplified diagram of a basketball hoop system with the following measured distances: - The vertical distance from the ground to the rim at point \( A \) is \( 10' \). - The horizontal distance from point \( O \) (the base) to point \( B \) is \( 36" \), and from point \( B \) to point \( A \) is \( 28" \). - There is a vertical offset of \( 12" \) from point \( O \) to point \( B \). - The force \( F \) is applied at an angle, described by the triangle with legs of ratio \( 4:3 \). The force vector \( F \) is depicted with its line of action passing through point \( A \), indicating the dynamic nature of a slam dunk applied at the front edge of the rim. **Analysis**: 1. **Calculating Moments**: - **Moment about point \( O \)**: Utilize the perpendicular distance between the line of action of force \( F \) and \( O \). - **Moment about point \( B \)**: Similarly, determine the perpendicular distance between the line of action of force \( F \) and \( B \). 2. **Determining Point \( C \)**: - Calculate the specific point on the ground at \( O \) such that the applied force \( F \) produces zero moment about this point. This involves considering the line of action of force \( F \) and its intersection/extension on the ground level. Understanding these aspects can help in analyzing the effects of forces in structural or mechanical systems and aid in designing for robustness against specific dynamic actions such as slamming forces in sports equipment.
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