= 4. 3) The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the collar A to move with velocity and acceleration both to the left. If the dimensions ₁ 1.1 ft, and /2 = 2.2 ft, và = 5.8 ft/s, a = 1.2 ft/s², and the angle = 32°, determine the speed of point C. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem 4.3:**

A hydraulic cylinder \( D \) extends, moving the rigid rod \( ABC \), and causes the collar \( A \) to move with velocity and acceleration both to the left. Given:

- \( l_1 = 1.1 \, \text{ft} \)
- \( l_2 = 2.2 \, \text{ft} \)
- \( v_A = 5.8 \, \text{ft/s} \)
- \( a_A = 1.2 \, \text{ft/s}^2 \)
- The angle \( \theta = 32^\circ \)

Determine the speed of point \( C \).

**Important:** Numbers may change, as they are randomized. Provide your answer with two decimal places and include the appropriate unit.

---

**Diagram Explanation:**

The diagram shows a hydraulic cylinder \( D \) supporting a rod structure \( ABC \). 

- Point \( A \) moves horizontally to the left with marked velocity \( v \) and acceleration \( a \).
- The rod extends from point \( A \) to point \( B \), and then to point \( C \).
- The lengths \( l_1 \) and \( l_2 \) represent segments \( BC \) and \( AB \) respectively.
- The angle \( \theta \) is between rod \( AB \) and the horizontal line.
- The speed of point \( C \) is to be calculated based on this setup.

**Your Answer:**

| Answer | Units |
Transcribed Image Text:**Problem 4.3:** A hydraulic cylinder \( D \) extends, moving the rigid rod \( ABC \), and causes the collar \( A \) to move with velocity and acceleration both to the left. Given: - \( l_1 = 1.1 \, \text{ft} \) - \( l_2 = 2.2 \, \text{ft} \) - \( v_A = 5.8 \, \text{ft/s} \) - \( a_A = 1.2 \, \text{ft/s}^2 \) - The angle \( \theta = 32^\circ \) Determine the speed of point \( C \). **Important:** Numbers may change, as they are randomized. Provide your answer with two decimal places and include the appropriate unit. --- **Diagram Explanation:** The diagram shows a hydraulic cylinder \( D \) supporting a rod structure \( ABC \). - Point \( A \) moves horizontally to the left with marked velocity \( v \) and acceleration \( a \). - The rod extends from point \( A \) to point \( B \), and then to point \( C \). - The lengths \( l_1 \) and \( l_2 \) represent segments \( BC \) and \( AB \) respectively. - The angle \( \theta \) is between rod \( AB \) and the horizontal line. - The speed of point \( C \) is to be calculated based on this setup. **Your Answer:** | Answer | Units |
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