1. A dam is in the shape of an isosceles trapezoid. The dam is 120 feet wide at the top and 60 feet wide at the bottom with a slant height of 84 feet. Find the hydrostatic force on the dam assuming it is full of water.   Extra. A trough filled with water has its ends parabolically shaped as shown in the figure. If it is filled with water, find the hydrostatic force on one end of the trough.

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1. A dam is in the shape of an isosceles trapezoid. The dam is 120 feet wide at the top and 60 feet wide at the
bottom with a slant height of 84 feet. Find the hydrostatic force on the dam assuming it is full of water.

 

Extra.

A trough filled with water has its ends parabolically shaped as shown in the figure. If it is filled with water, find
the hydrostatic force on one end of the trough.

**Problem 32: Hydrostatic Force on a Dam**

A dam is shaped like an isosceles trapezoid. The dimensions of the dam are as follows:
- The top width is 120 feet.
- The bottom width is 60 feet.
- The slant height is 84 feet.

The task is to find the hydrostatic force on the dam when it is full of water.

**Extra Problem: Hydrostatic Force on a Parabolic Trough**

A trough is filled with water and has ends shaped like a parabola, as depicted in the accompanying figure. The parabolic endpoints have the following dimensions:
- The width at the top of the parabola is 4 meters.
- The depth of the parabola is 2 meters.

The problem is to determine the hydrostatic force on one end of the trough when it is completely filled with water.

**Explanation of the Diagram:**
The diagram illustrates a 2D representation of the parabolic trough end. The parabola opens upward, with its top width spanning 4 meters, and reaches a maximum depth of 2 meters.
Transcribed Image Text:**Problem 32: Hydrostatic Force on a Dam** A dam is shaped like an isosceles trapezoid. The dimensions of the dam are as follows: - The top width is 120 feet. - The bottom width is 60 feet. - The slant height is 84 feet. The task is to find the hydrostatic force on the dam when it is full of water. **Extra Problem: Hydrostatic Force on a Parabolic Trough** A trough is filled with water and has ends shaped like a parabola, as depicted in the accompanying figure. The parabolic endpoints have the following dimensions: - The width at the top of the parabola is 4 meters. - The depth of the parabola is 2 meters. The problem is to determine the hydrostatic force on one end of the trough when it is completely filled with water. **Explanation of the Diagram:** The diagram illustrates a 2D representation of the parabolic trough end. The parabola opens upward, with its top width spanning 4 meters, and reaches a maximum depth of 2 meters.
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