Each of the two systems is released from rest. Calculate the speed v of each 62-lb cylinder after the 49-lb cylinder has dropped 5.5 ft. The 27-lb cylinder of case (a) is replaced by a 27-lb force in case (b).

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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### Physics Problem: Calculating Speed in a Pulley System

Each of the two systems is released from rest. Calculate the speed \( v \) of each 62-lb cylinder after the 49-lb cylinder has dropped 5.5 ft. The 27-lb cylinder of case (a) is replaced by a 27-lb force in case (b).

#### Diagrams

**Case (a):**
- The setup includes two cylinders, one weighing 49 lbs and the other 62 lbs, connected by a pulley system.
- A 27-lb cylinder is also connected in the system.

**Case (b):**
- Similar setup with two cylinders, one weighing 49 lbs and the other 62 lbs, connected by a pulley system.
- Instead of a 27-lb cylinder, there is a 27-lb force applied downward.

Here is a detailed explanation of the diagrams:

**(a):**
- The left side shows a 49 lb hanging, connected to a pulley.
- The right side shows a 62 lb hanging, connected to the same pulley.
- At the bottom of the 49-lb cylinder, there is an additional weight of 27 lbs.

**(b):**
- The left side shows a 49 lb hanging, connected to a pulley.
- The right side shows a 62 lb hanging, connected to the same pulley.
- At the bottom of the 49-lb cylinder, instead of a weight, there is an applied force of 27 lbs downward, depicted by a red arrow.

#### Answers

(a) \( v = \) [Input Box] ft/sec

(b) \( v = \) [Input Box] ft/sec

Enter the correct speeds for each scenario in the provided input boxes.

---

This problem involves the concepts of gravitational force, equilibrium, and motion, and it's meant to test your understanding of these principles in a practical pulley system.
Transcribed Image Text:### Physics Problem: Calculating Speed in a Pulley System Each of the two systems is released from rest. Calculate the speed \( v \) of each 62-lb cylinder after the 49-lb cylinder has dropped 5.5 ft. The 27-lb cylinder of case (a) is replaced by a 27-lb force in case (b). #### Diagrams **Case (a):** - The setup includes two cylinders, one weighing 49 lbs and the other 62 lbs, connected by a pulley system. - A 27-lb cylinder is also connected in the system. **Case (b):** - Similar setup with two cylinders, one weighing 49 lbs and the other 62 lbs, connected by a pulley system. - Instead of a 27-lb cylinder, there is a 27-lb force applied downward. Here is a detailed explanation of the diagrams: **(a):** - The left side shows a 49 lb hanging, connected to a pulley. - The right side shows a 62 lb hanging, connected to the same pulley. - At the bottom of the 49-lb cylinder, there is an additional weight of 27 lbs. **(b):** - The left side shows a 49 lb hanging, connected to a pulley. - The right side shows a 62 lb hanging, connected to the same pulley. - At the bottom of the 49-lb cylinder, instead of a weight, there is an applied force of 27 lbs downward, depicted by a red arrow. #### Answers (a) \( v = \) [Input Box] ft/sec (b) \( v = \) [Input Box] ft/sec Enter the correct speeds for each scenario in the provided input boxes. --- This problem involves the concepts of gravitational force, equilibrium, and motion, and it's meant to test your understanding of these principles in a practical pulley system.
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