Draw separate free-body diagrams of the forces on the stopper and the forces on the hanging washer(s) while the stopper is moving horizontally. What assumptions, if any, are you making?  Assign symbols to all of the forces, and define what they represent next to your diagrams.  For easy reference, it is useful to draw the acceleration vector for the object next to its free-body diagram.  It is also useful to put the force vectors on a separate coordinate system for each object (force diagram).  Remember that on a force diagram, the origin (tail) of all vectors is at the origin of the coordinate system. For each force diagram (one for the stopper and another one for the washers), write down Newton's 2nd law in both the x and y directions.  What is the direction of the acceleration of the stopper?  Your answer will depend on how you define your coordinate system.  Write down a relationship between the weight of the hanging washer(s) and the force acting on the stopper by the string.  What is the force acting on the string?

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  1. Make a sketch of the problem situation similar to the one in the Equipment section.  Indicate the path taken by the rubber stopper.  In this case you may want to make two pictures: a top view and a side view.  Label the length of the string between the top of the cylinder and the rotating stopper, the mass of the rubber stopper and hanging washer(s), and the velocity and acceleration vectors of the stopper.
  2. Because gravity pulls downward on the stopper, the string slopes slightly downward in the picture.  For simplicity, in this problem you can assume the string is approximately parallel to the ground. Draw a new side view picture with the stopper moving purely horizontally.
  3. Draw separate free-body diagrams of the forces on the stopper and the forces on the hanging washer(s) while the stopper is moving horizontally. What assumptions, if any, are you making?  Assign symbols to all of the forces, and define what they represent next to your diagrams.  For easy reference, it is useful to draw the acceleration vector for the object next to its free-body diagram.  It is also useful to put the force vectors on a separate coordinate system for each object (force diagram).  Remember that on a force diagram, the origin (tail) of all vectors is at the origin of the coordinate system.
  4. For each force diagram (one for the stopper and another one for the washers), write down Newton's 2nd law in both the x and y directions.  What is the direction of the acceleration of the stopper?  Your answer will depend on how you define your coordinate system. 
  5. Write down a relationship between the weight of the hanging washer(s) and the force acting on the stopper by the string.  What is the force acting on the string
The image is a diagram depicting an arrangement with an inclined line intersecting a horizontal line, accompanied by various geometric shapes and notations.

1. **Structure**: 
   - There is a long vertical line on the left with a small notch near the bottom.
   - To the right, a horizontal line extends from the middle of the vertical line towards the right side, creating a right angle with the vertical line.
   - A rectangle is placed above this horizontal line on the right, aligned with the upper edge of the horizontal line.

2. **Labels and Notations**:
   - The vertical line on the left is labeled as "Conductor line," denoting that it serves as a path or support.
   - The horizontal line intersecting the vertical is indicated with tick marks and is labeled "Path of electric current flow," suggesting it represents an electric circuit.
   - The rectangle above the horizontal line on the right could depict a battery symbol or a power source, suggesting its role in providing electrical energy.
   - At the bottom left, a large circle with a smaller circle inside is labeled "Lightbulb," representing a bulb that will light up once the circuit is complete.

3. **Functional Explanation**:
   - Electric current flows from the power source, represented by the rectangle, through the conductor line (vertical) and along the horizontal path toward the lightbulb.
   - The lightbulb illustrates the application of the electric circuit, where the design's objective might be to demonstrate basic electricity flow and the function of a simple electric circuit.

This diagram provides a basic educational overview of a simple electric circuit, including its components and their interactions in conducting electricity to light a bulb.
Transcribed Image Text:The image is a diagram depicting an arrangement with an inclined line intersecting a horizontal line, accompanied by various geometric shapes and notations. 1. **Structure**: - There is a long vertical line on the left with a small notch near the bottom. - To the right, a horizontal line extends from the middle of the vertical line towards the right side, creating a right angle with the vertical line. - A rectangle is placed above this horizontal line on the right, aligned with the upper edge of the horizontal line. 2. **Labels and Notations**: - The vertical line on the left is labeled as "Conductor line," denoting that it serves as a path or support. - The horizontal line intersecting the vertical is indicated with tick marks and is labeled "Path of electric current flow," suggesting it represents an electric circuit. - The rectangle above the horizontal line on the right could depict a battery symbol or a power source, suggesting its role in providing electrical energy. - At the bottom left, a large circle with a smaller circle inside is labeled "Lightbulb," representing a bulb that will light up once the circuit is complete. 3. **Functional Explanation**: - Electric current flows from the power source, represented by the rectangle, through the conductor line (vertical) and along the horizontal path toward the lightbulb. - The lightbulb illustrates the application of the electric circuit, where the design's objective might be to demonstrate basic electricity flow and the function of a simple electric circuit. This diagram provides a basic educational overview of a simple electric circuit, including its components and their interactions in conducting electricity to light a bulb.
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