How Does Impulse Affect Acceleration and Tension in a Disk-Particle System?

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Homework Help Overview

The discussion revolves around a uniform circular disc of mass 2m and radius R, which is placed on a smooth horizontal surface. A particle of mass m is connected to the disc's circumference via a string. An impulse J is applied to the particle, prompting questions about the resulting acceleration of the disc's center of mass and the relationship between impulse, tension, and acceleration in the system.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the relationship between tension in the string and the forces acting on both the particle and the disc. Questions arise regarding whether the particle follows a circular path and how to relate the tension to centripetal force. There is also discussion about the initial conditions of the system and the implications of the impulse applied to the particle.

Discussion Status

The discussion is active, with participants questioning assumptions about the forces acting on the disc and the particle. Some participants suggest that the tension may need to be reconsidered in light of the system's dynamics, while others are exploring the implications of the impulse on the motion of both the disc and the particle.

Contextual Notes

Participants note that initially, no horizontal forces act on the disc, leading to confusion about the system's behavior immediately after the impulse is applied. There are also considerations regarding the constraints imposed by the string and the nature of the motion involved.

  • #31
Thank you very much TSny .
 
Last edited:

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