The figure shows a small piece of clay colliding into a disk. The disk is initially at rest, but can rotate about a pivot fixed at its center. The collision is completely inelastic. The disk has mass M = 4.84 kilograms and radius R = 0.74 meters. The clay has mass m = 285 grams and is moving horizontally at vi = 3.88 m/s just before colliding with and sticking to the disk. The clay strikes the edge of the disk at a location of b = 0.505 meters offset from the center of the disk. Note that the size of the clay is negligible compared to the radius of the disk. 1. Calculate the angular speed (rad/s) of the disk just after the collision

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Chapter1: Units, Trigonometry. And Vectors
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 The figure shows a small piece of clay colliding into a disk. The disk is initially at rest, but can rotate about a pivot fixed at its center. The collision is completely inelastic.

The disk has mass M = 4.84 kilograms and radius R = 0.74 meters. The clay has mass m = 285 grams and is moving horizontally at vi = 3.88 m/s just before colliding with and sticking to the disk. The clay strikes the edge of the disk at a location of b = 0.505 meters offset from the center of the disk. Note that the size of the clay is negligible compared to the radius of the disk.

1. Calculate the angular speed (rad/s) of the disk just after the collision. 

The image depicts a physics problem scenario involving a small object and a large circular mass. Here is a detailed description of each element within the image:

1. **Small Object (Mass m)**:
   - A small black dot represents an object with mass \( m \).
   - The object is positioned above a horizontal dashed line at a distance \( b \).

2. **Velocity (\( v_i \))**:
   - An arrow pointing to the right originates from the small object, indicating its initial velocity \( v_i \).

3. **Large Circular Mass (Mass M)**:
   - A large circle represents a second object with mass \( M \). 
   - The circle has a center denoted by a small circle at the intersection of the dashed line and the radial line.

4. **Radius (R)**:
   - A line extends from the center of the circle to the perimeter, labeled \( R \), denoting the radius of the mass \( M \).

This diagram is commonly used in physics to illustrate problems involving collisions, gravitation, or circular motion, where the interaction between the two masses is analyzed.
Transcribed Image Text:The image depicts a physics problem scenario involving a small object and a large circular mass. Here is a detailed description of each element within the image: 1. **Small Object (Mass m)**: - A small black dot represents an object with mass \( m \). - The object is positioned above a horizontal dashed line at a distance \( b \). 2. **Velocity (\( v_i \))**: - An arrow pointing to the right originates from the small object, indicating its initial velocity \( v_i \). 3. **Large Circular Mass (Mass M)**: - A large circle represents a second object with mass \( M \). - The circle has a center denoted by a small circle at the intersection of the dashed line and the radial line. 4. **Radius (R)**: - A line extends from the center of the circle to the perimeter, labeled \( R \), denoting the radius of the mass \( M \). This diagram is commonly used in physics to illustrate problems involving collisions, gravitation, or circular motion, where the interaction between the two masses is analyzed.
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