**Problem Statement**Determine the velocity of cart \( A \) if cylinder \( B \) has a downward velocity of 3.4 ft/sec at the instant illustrated. The two pulleys at \( C \) are pivoted independently. The velocity of \( A \) is positive if it moves down the slope, and negative if it moves up the slope.**Diagram Description**- A vertical rope, passing over a pulley mounted to a support beam, is attached to the top of cylinder \( B \).- Cylinder \( B \) is labeled with a downward velocity \( v_B \) and an arrow pointing down, indicating a velocity of 3.4 ft/sec.- Another section of the rope is connected to the cart \( A \) located on a sloped surface. The slope is inclined, and the cart is showing movement.- There are two independently pivoted pulleys located at point \( C \), guiding the rope from the cylinder \( B \) to the cart \( A \).**Question**\[ \text{What is the velocity of } A: \ v_A = \ \ \_ \ \ \text{ ft/sec} \](Note: Fill in the blank with the appropriate value once calculated based on the given information and the pulley system analysis.)

Answered: Image /qna-images/answer/371c3d06-f65d-45aa-a2dc-9a9e5b0b2d23.jpg

Determine the velocity of cart A if cylinder B has a downward velocity of 3.4 ft/sec at the instant illustrated. The two pulleys at Care pivoted independently. The velocity of A is positive if down the slope, negative if up the slope.

Determine the velocity of cart A if cylinder B has a downward velocity of 3.4 ft/sec at the instant illustrated. The two pulleys at Care pivoted independently. The velocity of A is positive if down the slope, negative if up the slope.

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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Question

**Problem Statement**

Determine the velocity of cart \( A \) if cylinder \( B \) has a downward velocity of 3.4 ft/sec at the instant illustrated. The two pulleys at \( C \) are pivoted independently. The velocity of \( A \) is positive if it moves down the slope, and negative if it moves up the slope.

**Diagram Description**

- A vertical rope, passing over a pulley mounted to a support beam, is attached to the top of cylinder \( B \).
- Cylinder \( B \) is labeled with a downward velocity \( v_B \) and an arrow pointing down, indicating a velocity of 3.4 ft/sec.
- Another section of the rope is connected to the cart \( A \) located on a sloped surface. The slope is inclined, and the cart is showing movement.
- There are two independently pivoted pulleys located at point \( C \), guiding the rope from the cylinder \( B \) to the cart \( A \).

**Question**

\[ \text{What is the velocity of } A: \ v_A = \ \ \_ \ \ \text{ ft/sec} \]

(Note: Fill in the blank with the appropriate value once calculated based on the given information and the pulley system analysis.)

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