Rotation Motion Problem: Finding Acceleration and Tensions in a Pulley System

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Homework Help Overview

The problem involves a pulley system with two masses, m1 and m2, connected by a cord. The pulley has a moment of inertia and is assumed to rotate about a frictionless axle. Participants are tasked with finding the acceleration of the masses and the tensions in the cord, while also considering the effects of the pulley’s inertia.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss drawing free body diagrams to analyze forces and torques acting on the masses and the pulley.
  • There are attempts to establish relationships between the tensions and the accelerations of the blocks and the pulley.
  • Some participants express confusion about the circular nature of the problem, questioning how to relate the accelerations of the blocks and the pulley.
  • Questions arise regarding the correct formulation of equations to represent the forces and torques involved.

Discussion Status

The discussion is ongoing, with participants exploring various equations and relationships. Some guidance has been provided regarding the need to write separate equations for each mass and the pulley, but no consensus has been reached on the specific mathematical relationships or the values of the tensions.

Contextual Notes

Participants note the complexity of the problem due to the interdependence of the accelerations and tensions, and there is an acknowledgment of the need for multiple equations to solve for the unknowns. The original poster's numerical values and assumptions about the pulley’s inertia are also part of the discussion.

  • #31
Nathanael said:
But your first equation looks like:
m_1g-(m_1)(m_1g)[\frac{I}{R^2}+m_1+m_2]^{-1}

But I'm pretty sure that's not how you meant it to be.

That formula is correct for T1, Nathanael.

ehild
 

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