Door AB closes a tunnel that allows water to pass through the dam when the reservoir must be drained. Door AB is 3 ft wide perpendicular to the plane of the page. Determine the pressure the water exerts at A, the pressure the water exerts at B, the otal force the water exerts on door AB, and the distance below A at which the force Ib acts. Take the specific weight of water as y = 62.4- ft

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Chapter1: Units, Trigonometry. And Vectors
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**Description of the Problem:**

Door AB closes a tunnel that allows water to pass through the dam when the reservoir must be drained. Door AB is 3 ft wide perpendicular to the plane of the page.

Determine the pressure the water exerts at A, the pressure the water exerts at B, the total force the water exerts on door AB, and the distance below A at which the force acts. Take the specific weight of water as \( \gamma = 62.4 \, \text{lb/ft}^3 \).

---

**Illustration Explanation:**

The diagram displays a side view of a dam with a door labeled AB. The left side of the door is submerged underwater, with water shown in blue. The height of water on the left side of the door is given as 18 ft.

- **Point A:** Located at the top of door AB, is marked on the boundary of the water and the dry area.
  
- **Point B:** Situated at the bottom of door AB.

The right side of the door shows no water, indicated by a gray shaded area that slopes downward, with the height labeled as 9 ft.

**Dimensions:**

- Water height to point A: 18 ft
- Width of door AB: 3 ft
- Water height above point B: 9 ft (indicating the slope)

**Note:** Calculations related to hydrostatic pressures, total force, and force center would be based on these dimensions and the specific weight of water given.
Transcribed Image Text:**Description of the Problem:** Door AB closes a tunnel that allows water to pass through the dam when the reservoir must be drained. Door AB is 3 ft wide perpendicular to the plane of the page. Determine the pressure the water exerts at A, the pressure the water exerts at B, the total force the water exerts on door AB, and the distance below A at which the force acts. Take the specific weight of water as \( \gamma = 62.4 \, \text{lb/ft}^3 \). --- **Illustration Explanation:** The diagram displays a side view of a dam with a door labeled AB. The left side of the door is submerged underwater, with water shown in blue. The height of water on the left side of the door is given as 18 ft. - **Point A:** Located at the top of door AB, is marked on the boundary of the water and the dry area. - **Point B:** Situated at the bottom of door AB. The right side of the door shows no water, indicated by a gray shaded area that slopes downward, with the height labeled as 9 ft. **Dimensions:** - Water height to point A: 18 ft - Width of door AB: 3 ft - Water height above point B: 9 ft (indicating the slope) **Note:** Calculations related to hydrostatic pressures, total force, and force center would be based on these dimensions and the specific weight of water given.
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