Block A (m = 3 kg) and Block B (m = 5 kg) seen in the figure at right are attached to a pulley system that is released from rest. What will the velocity of Block B be when t = 6s?
Block A (m = 3 kg) and Block B (m = 5 kg) seen in the figure at right are attached to a pulley system that is released from rest. What will the velocity of Block B be when t = 6s?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Block A (m = 3 kg) and Block B (m = 5 kg) seen in the figure at right are attached to a pulley system that is released from rest. What will the velocity of Block B be when t = 6s?
![The image depicts a mechanical system involving pulleys and weights, often used to demonstrate principles of physics such as tension, force, and mechanical advantage.
### Diagram Explanation
- **Pulleys:**
- There are two main pulleys labeled as C and D arranged vertically.
- Pulley C is fixed to the ceiling structure, acting as a support.
- Pulley D hangs from the rope over Pulley C.
- **Weights:**
- Two weights labeled A and B are suspended in the system.
- Weight A is attached to a rope passing over Pulley D.
- Weight B is attached directly to the remaining part of the rope extending downward from Pulley D.
- **Ropes:**
- The rope that holds weight A passes over Pulley D, loops back upwards, and loops over Pulley C to support the system.
- The rope supporting weight B extends downward directly from Pulley D.
- **Measurement Points:**
- \( s_A \) is the vertical distance measured from a datum point to weight A.
- \( s_B \) is the vertical distance measured from the same datum point to weight B.
### Educational Context
This setup is often used in physics education to illustrate:
- **Mechanical Advantage:** Explains how pulleys can change the direction of forces and multiply force inputs to lift weights more easily.
- **Tension and Forces:** Demonstrates the distribution of tension across the ropes and its impact on the forces experienced by the weights.
- **Kinematics of Pulleys:** Involves studying how the movements of weights A and B are related, considering the fixed lengths of ropes involved.
This arrangement allows for discussion on topics like:
- Calculating forces in each rope segment.
- Analyzing the balance of forces for equilibrium.
- Exploring the relationship between distances \( s_A \) and \( s_B \) when the system is in motion.
This diagram is useful for student experiments and problem-solving exercises in physics classes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07a9cc2f-a791-4352-8325-07801fa15b52%2Fd656336d-f762-4bc2-8cdc-6791aef6120d%2Fbldgtil_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image depicts a mechanical system involving pulleys and weights, often used to demonstrate principles of physics such as tension, force, and mechanical advantage.
### Diagram Explanation
- **Pulleys:**
- There are two main pulleys labeled as C and D arranged vertically.
- Pulley C is fixed to the ceiling structure, acting as a support.
- Pulley D hangs from the rope over Pulley C.
- **Weights:**
- Two weights labeled A and B are suspended in the system.
- Weight A is attached to a rope passing over Pulley D.
- Weight B is attached directly to the remaining part of the rope extending downward from Pulley D.
- **Ropes:**
- The rope that holds weight A passes over Pulley D, loops back upwards, and loops over Pulley C to support the system.
- The rope supporting weight B extends downward directly from Pulley D.
- **Measurement Points:**
- \( s_A \) is the vertical distance measured from a datum point to weight A.
- \( s_B \) is the vertical distance measured from the same datum point to weight B.
### Educational Context
This setup is often used in physics education to illustrate:
- **Mechanical Advantage:** Explains how pulleys can change the direction of forces and multiply force inputs to lift weights more easily.
- **Tension and Forces:** Demonstrates the distribution of tension across the ropes and its impact on the forces experienced by the weights.
- **Kinematics of Pulleys:** Involves studying how the movements of weights A and B are related, considering the fixed lengths of ropes involved.
This arrangement allows for discussion on topics like:
- Calculating forces in each rope segment.
- Analyzing the balance of forces for equilibrium.
- Exploring the relationship between distances \( s_A \) and \( s_B \) when the system is in motion.
This diagram is useful for student experiments and problem-solving exercises in physics classes.
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