Make a sketch of the setup that is similar to the picture in the Equipment section.  Draw and label vectors to indicate the direction of the velocity and the direction of the acceleration for both the hanging object A and the block. Also assign symbols to the “known” quantities in the problem:  the mass of object A and the mass of the block.

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  1. Make a sketch of the setup that is similar to the picture in the Equipment section.  Draw and label vectors to indicate the direction of the velocity and the direction of the acceleration for both the hanging object A and the block. Also assign symbols to the “known” quantities in the problem:  the mass of object A and the mass of the block.
  2. Write down the principles of physics that you will use to solve the problem. What quantities can you measure using the video analysis software?
  3. Draw separate free-body diagrams of the forces on the block and the forces on object A after they start accelerating. Assign symbols to all of the forces, and define what they represent next to your diagram.  It is useful to draw the acceleration vector for the object next to its free-body diagram.  
  4. For each force diagram (one for the block and another one for object A), write down Newton's 2nd law in both the x and y directions.  It is important to make sure that all of your signs are correct. Your answer will depend on how you define your coordinate system.  
  5. From your force diagram, write down Newton’s 2nd law for each mass using the sum of the individual forces (the force of the string, weights of masses and frictional forces) as they relate to quantities you either know (masses) or can measure (the acceleration of the block).
  6. Now you have two equations with two unknowns (frictional force and force of the string). Everything else in the equation can be measured.   Combine your equations using algebra to write an expression for the kinetic frictional force on the block in terms of the mass of object A, the mass of the block, and the acceleration of the block

 

### Experiment Setup: Dynamics of Motion

#### Description:
The diagram illustrates an experimental setup used to study the dynamics of motion, often employed in physics education to demonstrate forces and acceleration.

#### Components:
1. **Pulley System:**
   - A small, frictionless pulley is mounted on the table’s edge.
   - It guides a string that runs over the top.

2. **String and Weight:**
   - A string is connected through the pulley with a weight hanging from one end, suspended in the air.
   - The other end of the string is attached to a cart on a flat table.

3. **Cart:**
   - Positioned on the table, the cart is free to move along the table’s surface.
   - Designed to minimize friction, often using wheels or an air track.

4. **Weight/Load:**
   - Hanging off the table via the string, it provides a gravitational force that generates motion.

#### Explanation of Motion:
- When the weight is released, it pulls on the string due to gravity.
- This force causes the cart to accelerate along the table's surface.
- The system can be used to study concepts like Newton's Second Law of Motion, friction, gravitational force, and kinetic energy.

#### Applications:
- Typical in physics demos to calculate the acceleration of the object using known masses and measured times.
- Helps visualize the relationship between force, mass, and acceleration.

This setup is vital for understanding basic principles of kinematics and dynamics in an interactive and visual way.
Transcribed Image Text:### Experiment Setup: Dynamics of Motion #### Description: The diagram illustrates an experimental setup used to study the dynamics of motion, often employed in physics education to demonstrate forces and acceleration. #### Components: 1. **Pulley System:** - A small, frictionless pulley is mounted on the table’s edge. - It guides a string that runs over the top. 2. **String and Weight:** - A string is connected through the pulley with a weight hanging from one end, suspended in the air. - The other end of the string is attached to a cart on a flat table. 3. **Cart:** - Positioned on the table, the cart is free to move along the table’s surface. - Designed to minimize friction, often using wheels or an air track. 4. **Weight/Load:** - Hanging off the table via the string, it provides a gravitational force that generates motion. #### Explanation of Motion: - When the weight is released, it pulls on the string due to gravity. - This force causes the cart to accelerate along the table's surface. - The system can be used to study concepts like Newton's Second Law of Motion, friction, gravitational force, and kinetic energy. #### Applications: - Typical in physics demos to calculate the acceleration of the object using known masses and measured times. - Helps visualize the relationship between force, mass, and acceleration. This setup is vital for understanding basic principles of kinematics and dynamics in an interactive and visual way.
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