2. In the figure below Block A has a mass of 30.0 kg and Block B has a mass of 10.0 kg. Both blocks are resting on frictionless surfaces. a) Draw the free body diagram and kinetic diagrams of each block. b) Determine the acceleration of the blocks. c) Determine the tension in the cord.

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The image shows a diagram of a simple mechanical system involving two boxes and an inclined plane. 

**Description:**
- **Box A** is positioned on a horizontal surface and is labeled with a mass \( M_A = 30 \, \text{kg} \).
- A pulley system connects Box A to **Box B**, which is resting on an inclined plane.
- **Box B** is labeled with a mass \( M_B = 10 \, \text{kg} \).
- The inclined plane is at an angle of \( 30^\circ \) to the horizontal.

**Diagram Details:**
- The pulley is depicted as a circle, indicating that it guides the connection between Box A and Box B.
- An arrow is shown pointing down the incline from Box B, suggesting the direction of potential movement.

This setup could be used to study dynamics, friction, or mechanical advantage in physics.
Transcribed Image Text:The image shows a diagram of a simple mechanical system involving two boxes and an inclined plane. **Description:** - **Box A** is positioned on a horizontal surface and is labeled with a mass \( M_A = 30 \, \text{kg} \). - A pulley system connects Box A to **Box B**, which is resting on an inclined plane. - **Box B** is labeled with a mass \( M_B = 10 \, \text{kg} \). - The inclined plane is at an angle of \( 30^\circ \) to the horizontal. **Diagram Details:** - The pulley is depicted as a circle, indicating that it guides the connection between Box A and Box B. - An arrow is shown pointing down the incline from Box B, suggesting the direction of potential movement. This setup could be used to study dynamics, friction, or mechanical advantage in physics.
**Problem Statement:**

In the figure below, Block A has a mass of 30.0 kg and Block B has a mass of 10.0 kg. Both blocks are resting on frictionless surfaces.

a) Draw the free body diagram and kinetic diagrams of each block.

b) Determine the acceleration of the blocks.

c) Determine the tension in the cord.

**Explanation:**

1. **Free Body Diagram and Kinetic Diagrams:** 
   - For Block A:
     - Forces acting: Tension (T) in the cord pulling horizontally.
     - Kinetic diagram: Mass (30.0 kg) and acceleration (a).
   - For Block B:
     - Forces acting: Tension (T) and gravitational force due to weight (mB * g).
     - Kinetic diagram: Mass (10.0 kg) and acceleration (a).

2. **Acceleration of the Blocks:** 
   - Use Newton’s second law: F = m * a.
   - Calculate based on the forces and masses given.

3. **Tension in the Cord:**
   - Utilize equations derived from the free body diagrams.
   - Consider the relationship between forces and acceleration as they apply to the system.

This problem requires an understanding of basic physics concepts like free body diagrams, Newton’s laws of motion, and tension in cords on frictionless surfaces. Each solution step involves equilibrium analysis and algebra to solve for the unknowns like acceleration and tension.
Transcribed Image Text:**Problem Statement:** In the figure below, Block A has a mass of 30.0 kg and Block B has a mass of 10.0 kg. Both blocks are resting on frictionless surfaces. a) Draw the free body diagram and kinetic diagrams of each block. b) Determine the acceleration of the blocks. c) Determine the tension in the cord. **Explanation:** 1. **Free Body Diagram and Kinetic Diagrams:** - For Block A: - Forces acting: Tension (T) in the cord pulling horizontally. - Kinetic diagram: Mass (30.0 kg) and acceleration (a). - For Block B: - Forces acting: Tension (T) and gravitational force due to weight (mB * g). - Kinetic diagram: Mass (10.0 kg) and acceleration (a). 2. **Acceleration of the Blocks:** - Use Newton’s second law: F = m * a. - Calculate based on the forces and masses given. 3. **Tension in the Cord:** - Utilize equations derived from the free body diagrams. - Consider the relationship between forces and acceleration as they apply to the system. This problem requires an understanding of basic physics concepts like free body diagrams, Newton’s laws of motion, and tension in cords on frictionless surfaces. Each solution step involves equilibrium analysis and algebra to solve for the unknowns like acceleration and tension.
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