A rigid massless rod of length L joins two particles each of mass m. The rod lies on a frictionless table. A third particle of mass m and speed v0 collides and sticks to one of the other particles, as shown. Describe the subsequent motion of the system by determining the motion of the center of mass (CM) and the particle’s rotation around the CM

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A rigid massless rod of length L joins two particles each of mass m. The
rod lies on a frictionless table. A third particle of mass m and speed v0 collides and sticks
to one of the other particles, as shown. Describe the subsequent motion of the system by
determining the motion of the center of mass (CM) and the particle’s rotation around the
CM

The image illustrates a physics problem involving projectile motion and angular momentum. It depicts two spheres connected by a rigid rod, forming an angle of 45 degrees with the horizontal axis.

- **Diagram Explanation:**
  - The diagram shows a gray sphere moving horizontally to the right with an initial velocity \( v_0 \).
  - The gray sphere on the rod rotates to an angle of 45 degrees from the horizontal.
  - The distance from the pivot point to the mass connected to the rod is labeled as \( L \).
  - The arrow pointing from the left sphere indicates the initial velocity direction.

This setup is typically used to explore concepts such as rotational motion, angular velocity, and the effects of force applied at an angle. It can help in understanding how the components of velocity along different axes interact in a system with constraints.
Transcribed Image Text:The image illustrates a physics problem involving projectile motion and angular momentum. It depicts two spheres connected by a rigid rod, forming an angle of 45 degrees with the horizontal axis. - **Diagram Explanation:** - The diagram shows a gray sphere moving horizontally to the right with an initial velocity \( v_0 \). - The gray sphere on the rod rotates to an angle of 45 degrees from the horizontal. - The distance from the pivot point to the mass connected to the rod is labeled as \( L \). - The arrow pointing from the left sphere indicates the initial velocity direction. This setup is typically used to explore concepts such as rotational motion, angular velocity, and the effects of force applied at an angle. It can help in understanding how the components of velocity along different axes interact in a system with constraints.
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