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?

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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.
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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