Torque and Magnitude of Acceleration Question

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Homework Help Overview

The discussion revolves around a problem involving torque and the magnitude of acceleration in a two-block system connected by a pulley. Participants are exploring the relationship between rotational inertia, radius, and acceleration.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants are attempting to connect the concepts of torque, angular momentum, and Newton's laws to understand the system's dynamics. Questions arise about how to apply Newton's second law specifically to the pulley and how to relate the forces acting on the blocks to the torque generated.

Discussion Status

Some guidance has been offered regarding the application of Newton's second law to the pulley, and there are attempts to express torque in terms of the forces acting on the system. Multiple interpretations of the relationships between the variables are being explored, but no consensus has been reached.

Contextual Notes

Participants are working with a diagram that contains the question, data, and relevant equations, but the specifics of these elements are not detailed in the discussion. There is an indication of uncertainty regarding the application of the concepts involved.

jegues
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Homework Statement


Question and data in attached diagram.


Homework Equations


Also in attached diagram.


The Attempt at a Solution


Again, in attached diagram.


I can't establish the link between the rotation inertia and radius of the pulley into how that effects the acceleration of my 2 block system. I'm assuming you have to use the torque or angular momentum to work it in there?
 

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Write Newton's 2nd Law for the pulley. That will give you a relation between the tensions on the two sides.
 
Torque = rxF ; F = T2-T1

Therefore torque = rx(T2-T1), Thats the only thing i can think of...
 
bump, I don't know how to use Newtons 2nd law on the pulley :/.

Torque corresponds to force, I to mass...
 
(T2-T1)R = I α = I a/R
 

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