**Problem Statement:**3. The hydraulic cylinder \( C \) extends and causes the collar \( A \) to move and accelerate to the left.6) If the length \( l = 2.1 \) ft, the angle \( \theta = 27^\circ \), the linear velocity of collar \( A \), \( v_A \), is 3.7 ft/s, and the linear acceleration of collar \( A \), \( a_A \), is 3.5 ft/s\(^2\), determine the linear acceleration in ft/s\(^2\) of point \( B \). Negative sign must be included if it is against the direction of the x-y axes as shown. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point.**Diagram Explanation:**The diagram provides a visual representation of the mechanism in question. It includes:- Axes labeled \( x \) and \( y \) for reference.- A rod inclined at angle \( \theta \) connected to collar \( A \) on the ground. - The point \( B \) is on the rod, and the length \( l \) represents the distance from \( A \) to \( B \).- Arrows indicate the direction of velocity \( v_A \) and acceleration \( a_A \) for collar \( A \) to the left.**Input for User:**Your Answer: [ ]**Answer** **Problem Statement:**3. The hydraulic cylinder \( C \) extends and causes the collar \( A \) to move and accelerate to the left.5) If the length \( l = 1.6 \, \text{ft} \), the angle \( \theta = 24^\circ \), the linear velocity of collar \( A \), \( v_A \) is \( 3.4 \, \text{ft/s} \), and the linear acceleration of collar \( A \), \( a_A \) is \( 3.2 \, \text{ft/s}^2 \), determine the angular acceleration in \( \text{rad/s}^2 \), \( \alpha_{AB} \), of rod \( AB \). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point.**Diagram Explanation:**The diagram shows:- A hydraulic cylinder \( C \) extending vertically.- A rod \( AB \) inclined at an angle \( \theta = 24^\circ \) to the horizontal.- The collar \( A \) moving horizontally to the left.- Arrows indicating the linear velocity \( v_A \) and linear acceleration \( a_A \) of collar \( A \) in the left direction.- The length \( l \) representing the distance from point \( A \) to point \( B \) on rod \( AB \).**Solution Entry:**Your Answer: [Text box for answer input]Answer: [Answer will be shown here]

Answered: Image /qna-images/answer/4facbae0-390a-4659-870d-5b2dc0e141de.jpg

5) If the length /= 1.6 ft, the angle = 24°, the linear velocity of collar A, VA is 3.4 ft/s, and the linear acceleration of collar A, aA is 3.2 ft/s², determine the angular acceleration in rad/s², a AB, of rod AB. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point.

5) If the length /= 1.6 ft, the angle = 24°, the linear velocity of collar A, VA is 3.4 ft/s, and the linear acceleration of collar A, aA is 3.2 ft/s², determine the angular acceleration in rad/s², a AB, of rod AB. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

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Question

**Problem Statement:**

3. The hydraulic cylinder \( C \) extends and causes the collar \( A \) to move and accelerate to the left.

6) If the length \( l = 2.1 \) ft, the angle \( \theta = 27^\circ \), the linear velocity of collar \( A \), \( v_A \), is 3.7 ft/s, and the linear acceleration of collar \( A \), \( a_A \), is 3.5 ft/s\(^2\), determine the linear acceleration in ft/s\(^2\) of point \( B \). Negative sign must be included if it is against the direction of the x-y axes as shown. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point.

**Diagram Explanation:**

The diagram provides a visual representation of the mechanism in question. It includes:

- Axes labeled \( x \) and \( y \) for reference.
- A rod inclined at angle \( \theta \) connected to collar \( A \) on the ground.
- The point \( B \) is on the rod, and the length \( l \) represents the distance from \( A \) to \( B \).
- Arrows indicate the direction of velocity \( v_A \) and acceleration \( a_A \) for collar \( A \) to the left.

**Input for User:**

Your Answer: [ ]

**Answer**

**Problem Statement:**

3. The hydraulic cylinder \( C \) extends and causes the collar \( A \) to move and accelerate to the left.

5) If the length \( l = 1.6 \, \text{ft} \), the angle \( \theta = 24^\circ \), the linear velocity of collar \( A \), \( v_A \) is \( 3.4 \, \text{ft/s} \), and the linear acceleration of collar \( A \), \( a_A \) is \( 3.2 \, \text{ft/s}^2 \), determine the angular acceleration in \( \text{rad/s}^2 \), \( \alpha_{AB} \), of rod \( AB \). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point.

**Diagram Explanation:**

The diagram shows:
- A hydraulic cylinder \( C \) extending vertically.
- A rod \( AB \) inclined at an angle \( \theta = 24^\circ \) to the horizontal.
- The collar \( A \) moving horizontally to the left.
- Arrows indicating the linear velocity \( v_A \) and linear acceleration \( a_A \) of collar \( A \) in the left direction.
- The length \( l \) representing the distance from point \( A \) to point \( B \) on rod \( AB \).

**Solution Entry:**

Your Answer: [Text box for answer input]

Answer: [Answer will be shown here]

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