Consider the following figure. (a) What force (in N) must be exerted by the wind to support a 2.00 kg chicken in the position shown in the figure? (Assume , = 17.0 cm and r - 8.20 cm.) (b) What is the ratio of this force to the chicken's weight? Fwind weight (c) Does this support the contention that the chicken has a relatively stable construction? O Yes, the chicken is relatively stable. O No, the chicken is not relatively stable.

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The image and text present a physics problem concerning the equilibrium of a chicken under the influence of wind. The chicken is shown standing at an angle with a force exerted by the wind, labeled \( F_{\text{wind}} \), and the weight of the chicken \( w \) acting downwards at its center of gravity (CG).

### Diagram Explanation:
- **Diagram:** The chicken is represented at an angle, supported by two forces: \( F_{\text{wind}} \) (wind force) acting horizontally to the left, and \( w \) (weight) acting downward from its center of gravity.
- **Measurements:**
  - \( r_{\perp} = 8.20 \, \text{cm} \): The perpendicular distance from the line of action of the wind force to the point of rotation.
  - \( r_{L} = 17.0 \, \text{cm} \): The overall length from the point of rotation to the center of gravity.

### Questions:

(a) **Force Calculation:**
   - Determine the force in Newtons (\( N \)) required by the wind to keep a 2.00 kg chicken balanced in the illustrated position. Given:
      \[
      r_{\perp} = 8.20 \, \text{cm}, \quad r_{L} = 17.0 \, \text{cm}
      \]

(b) **Ratio Determination:**
   - Find the ratio of the wind force to the chicken's weight:
      \[
      \frac{F_{\text{wind}}}{\text{weight}} = \text{(ratio)}
      \]

(c) **Stability Analysis:**
   - Analyze whether the wind force maintains the chicken in a relatively stable position.
      - Yes, the chicken is relatively stable.
      - No, the chicken is not relatively stable.

This exercise involves applying principles of torque and balance to determine the stability of an object subjected to external forces.
Transcribed Image Text:The image and text present a physics problem concerning the equilibrium of a chicken under the influence of wind. The chicken is shown standing at an angle with a force exerted by the wind, labeled \( F_{\text{wind}} \), and the weight of the chicken \( w \) acting downwards at its center of gravity (CG). ### Diagram Explanation: - **Diagram:** The chicken is represented at an angle, supported by two forces: \( F_{\text{wind}} \) (wind force) acting horizontally to the left, and \( w \) (weight) acting downward from its center of gravity. - **Measurements:** - \( r_{\perp} = 8.20 \, \text{cm} \): The perpendicular distance from the line of action of the wind force to the point of rotation. - \( r_{L} = 17.0 \, \text{cm} \): The overall length from the point of rotation to the center of gravity. ### Questions: (a) **Force Calculation:** - Determine the force in Newtons (\( N \)) required by the wind to keep a 2.00 kg chicken balanced in the illustrated position. Given: \[ r_{\perp} = 8.20 \, \text{cm}, \quad r_{L} = 17.0 \, \text{cm} \] (b) **Ratio Determination:** - Find the ratio of the wind force to the chicken's weight: \[ \frac{F_{\text{wind}}}{\text{weight}} = \text{(ratio)} \] (c) **Stability Analysis:** - Analyze whether the wind force maintains the chicken in a relatively stable position. - Yes, the chicken is relatively stable. - No, the chicken is not relatively stable. This exercise involves applying principles of torque and balance to determine the stability of an object subjected to external forces.
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