Calculate the forces that the supports A and B exert on the diving board shown in (Figure 1) when a 53-kg person stands at its tip.

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Chapter1: Units, Trigonometry. And Vectors
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### Exercise: Forces on a Diving Board

#### Part A
Calculate the force that the support A exerts on the diving board. Ignore the weight of the board.

**Instructions:**
- Express your answer to two significant figures and include the appropriate units.
- Enter a positive value if the force is upward and a negative value if the force is downward.

**Answer Box:**
- \( F_A = \) [Value] [Units]

[Submit] [Request Answer]

---

#### Part B
Calculate the force that the support B exerts on the diving board. Ignore the weight of the board.

**Instructions:**
- Express your answer to two significant figures and include the appropriate units.
- Enter a positive value if the force is upward and a negative value if the force is downward.

**Answer Box:**
- \( F_B = \) [Value] [Units]

[Submit] [Request Answer]

---

#### Part C
Calculate the force that the support A exerts on the diving board. Take into account the board's mass of 27 kg. Assume the board's center of gravity (CG) is at its center.

**Instructions:**
- Express your answer to two significant figures and include the appropriate units.
- Enter a positive value if the force is upward and a negative value if the force is downward.

**Answer Box:**
- \( F_{A2} = \) [Value] [Units]

[Submit] [Request Answer]

---

#### Part D
Calculate the force that the support B exerts on the diving board. Take into account the board's mass of 27 kg. Assume the board's center of gravity (CG) is at its center.

**Instructions:**
- Express your answer to two significant figures and include the appropriate units.
- Enter a positive value if the force is upward and a negative value if the force is downward.

**Answer Box:**
- \( F_{B2} = \) [Value] [Units]

[Submit] [Request Answer]

---

**Note:** For each part, ensure that calculations consider the relevant physics principles such as equilibrium of forces and moments.
Transcribed Image Text:### Exercise: Forces on a Diving Board #### Part A Calculate the force that the support A exerts on the diving board. Ignore the weight of the board. **Instructions:** - Express your answer to two significant figures and include the appropriate units. - Enter a positive value if the force is upward and a negative value if the force is downward. **Answer Box:** - \( F_A = \) [Value] [Units] [Submit] [Request Answer] --- #### Part B Calculate the force that the support B exerts on the diving board. Ignore the weight of the board. **Instructions:** - Express your answer to two significant figures and include the appropriate units. - Enter a positive value if the force is upward and a negative value if the force is downward. **Answer Box:** - \( F_B = \) [Value] [Units] [Submit] [Request Answer] --- #### Part C Calculate the force that the support A exerts on the diving board. Take into account the board's mass of 27 kg. Assume the board's center of gravity (CG) is at its center. **Instructions:** - Express your answer to two significant figures and include the appropriate units. - Enter a positive value if the force is upward and a negative value if the force is downward. **Answer Box:** - \( F_{A2} = \) [Value] [Units] [Submit] [Request Answer] --- #### Part D Calculate the force that the support B exerts on the diving board. Take into account the board's mass of 27 kg. Assume the board's center of gravity (CG) is at its center. **Instructions:** - Express your answer to two significant figures and include the appropriate units. - Enter a positive value if the force is upward and a negative value if the force is downward. **Answer Box:** - \( F_{B2} = \) [Value] [Units] [Submit] [Request Answer] --- **Note:** For each part, ensure that calculations consider the relevant physics principles such as equilibrium of forces and moments.
**Title: Calculating Forces on a Diving Board**

**Problem Statement:**

Calculate the forces that the supports A and B exert on the diving board shown in Figure 1 when a 53-kg person stands at its tip.

**Figure Description:**

The diagram illustrates a diving board supported by two points labeled A and B. The board is positioned over water with a person standing at the end. Point A is located 1.0 meters from the edge of the diving board, and point B is located 3.0 meters from point A, at the tip of the board. The person is standing at the end of the diving board furthest from the supports.
Transcribed Image Text:**Title: Calculating Forces on a Diving Board** **Problem Statement:** Calculate the forces that the supports A and B exert on the diving board shown in Figure 1 when a 53-kg person stands at its tip. **Figure Description:** The diagram illustrates a diving board supported by two points labeled A and B. The board is positioned over water with a person standing at the end. Point A is located 1.0 meters from the edge of the diving board, and point B is located 3.0 meters from point A, at the tip of the board. The person is standing at the end of the diving board furthest from the supports.
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