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huybinhs
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thepatient said:
It's on a paper exam, so not sure about the answer yet :(
Find angular velocity of the system
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SUMMARY
The discussion focuses on calculating the angular velocity of a system involving a moving disk and an inelastic collision. Key calculations include determining the center of mass (0.034925 m) and using the conservation of kinetic energy and angular momentum principles. Participants emphasize the importance of the moment of inertia, calculated using the parallel axis theorem, and the relationship between translational and rotational kinetic energy. The final angular velocity is derived from the equation KE = 0.5mv^2 + 0.5Iw^2, leading to results around 12.1 rad/s.
PREREQUISITES- Understanding of angular momentum and its calculation
- Familiarity with the parallel axis theorem for moment of inertia
- Knowledge of kinetic energy equations for both translational and rotational motion
- Basic principles of inelastic collisions in physics
- Study the parallel axis theorem in detail for calculating moment of inertia
- Learn about conservation of angular momentum in inelastic collisions
- Explore the relationship between translational and rotational kinetic energy
- Practice problems involving angular velocity calculations in complex systems
Physics students, educators, and anyone involved in mechanics, particularly those studying rotational dynamics and collision theory.
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