Clock Spring Torque: Understanding Input and Output Torque in Winding Mechanics

AI Thread Summary
When winding a clock spring from the outside while releasing from the inside, the input torque equals the output torque. If the torques were unequal, a net torque would cause angular acceleration, which contradicts the scenario where the spring is held stationary. The discussion emphasizes that equal torques prevent any movement, ensuring stability in the system. This principle effectively addresses concerns about potential counterintuitive outcomes. Understanding this balance is crucial for accurate analysis in winding mechanics.
John_tawil
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I'm winding up a clock spring from the outside and release from the inside. Is the input torque = to the output torque?

How would i go about setting up this problem
 
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Has to be. Imagine that you are just holding the wound spring from inside and outside. If the two torques don't cancel each other out, there is a net torque on the spring. If there is net torque, it has angular acceleration. But you are holding the spring, so it's not accelerating. Therefore, the two torques are equal.
 
THank you
 
K^2 said:
Has to be. Imagine that you are just holding the wound spring from inside and outside. If the two torques don't cancel each other out, there is a net torque on the spring. If there is net torque, it has angular acceleration. But you are holding the spring, so it's not accelerating. Therefore, the two torques are equal.

I just love those Null Arguments. Bomb proof and take care of all counter intuitive worries.
 
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