How Does Unlocking the Pulley Affect String Tension?

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Homework Help Overview

The discussion centers around a physics problem involving two masses hanging from a pulley system and the effect of unlocking the pulley on the tension in the strings. The participants explore the differences in tension before and after the pulley is released.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants question how the tension in the string changes when the pulley is unlocked, with some suggesting that the tension might remain the same. Others prompt consideration of the forces acting on the masses and the implications of Newton's second law in both locked and unlocked scenarios.

Discussion Status

The conversation is active, with participants raising questions about the relationship between the tensions in the strings and the forces at play. Some have provided hints and analogies to clarify the concepts, while others are exploring the implications of different assumptions, such as ignoring friction and the mass of the pulley.

Contextual Notes

There is a focus on the tension in the strings and the effects of unlocking the pulley, with some participants expressing uncertainty about how to account for various forces and conditions in the problem setup.

chaoseverlasting
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Homework Statement


Two masses of 4kg and 6kg are hanging from a pulley which is hung by a string. Initially the system is locked (the pulley is not allowed to rotate), and then it is released. Find the ratio of tension in the string holding the pulley before and after release.


The Attempt at a Solution



How the heck will the tension change? Wont it be the same?
 
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A picture of the problem would be nice.
 
Here's the diagram
 

Attachments

chaoseverlasting said:
How the heck will the tension change? Wont it be the same?
Consider the forces acting on each mass and apply Newton's 2nd law. What's different between the "locked" and "free to fall" cases?

Hint: Imagine holding a string that's tied to a rock. What's the tension in the string? Now let go of the string. Is the tension in the string the same?
 
No, tension wouldn't be same. Am I supposed to take friction into consideration here? Even so, how would the tension in the upper string change? There's no extra force acting on it. The tension in the strings holding up the masses will change, but in the one holding the whole system, where's the change?
 
Ignoring the weight of the pulley itself (consider it massless), how does the tension in the string at the top relate to the tension in the string attached to the masses?
 
That tension is equal to the sum of the tension in the strings attached to the masses. T=2T' where T' is the tension in the string holding the masses. But T' is a constant. Its one string, and tension in it is uniform. How does it change?
 
chaoseverlasting said:
That tension is equal to the sum of the tension in the strings attached to the masses. T=2T' where T' is the tension in the string holding the masses.
Correct!
But T' is a constant. Its one string, and tension in it is uniform. How does it change?
The tension is uniform throughout the string, but unlocking the pulley makes a huge difference. Remember my example of the rock on a string? If the rock is allowed to fall, the string tension will change. Similarly, if the masses are allowed to fall--by unlocking the pulley--the string tension will change.

When the pulley is locked: What's the acceleration of the masses?
What about when the pulley is unlocked?
 

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