Conceptual torque problem with multiple sized pulleys

AI Thread Summary
The discussion revolves around a student's misunderstanding of torque in a system with multiple pulleys. The student correctly identifies that the disk is accelerating clockwise but incorrectly concludes that T2 must exert more force than T1. The correct reasoning is that for the disk to accelerate clockwise, the torque generated by T2 must be greater than that of T1, despite the tensions in the ropes. The confusion lies in the relationship between tension and torque, which is not directly proportional in this scenario. Understanding the definition of torque clarifies the student's error in reasoning.
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Homework Statement


This is a six part conceptual question that is not difficult. However, the last part I am struggling with.
What is wrong with the following student's reasoning:
"The clockwise torque is greater than the counterclockwise torque because the disk is accelerating clockwise. For this to happen, T2 must pull harder on the disk than T1."

Here's a pic I drew:

2h6eq74.jpg


The Attempt at a Solution



Well I know the first sentence is correct.
But I also thought the second one is too.
A free body diagram would show m1 accelerating up, and m2 down. Therefore tension in
T1>T2.
What am I missing here?

EDIT: m1=m2
 
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It is correct that T1 must be greater than T2 if m2 accelerates downward. The reasoning is wrong. To accelerate the disk clockwise, the torque of T2 has to be greater than the torque of T1. How is torque defined?

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