Difficulty with band type brake

AI Thread Summary
The discussion revolves around calculating the brake torque and the force required to stop a drum using the provided maximum pressure of 0.7 MPa and a friction coefficient of 0.2. The user successfully derived a force of 8.68 N using the equation p=2P/bD but is uncertain about the variable dθ due to the band lifting on part of the drum. There is a consensus that the problem may lack sufficient information, particularly regarding the geometry and the effect of the band lifting. The user expresses concern that important equations might be missing, but believes the data provided is all that was given by the teacher. The conversation highlights the complexities of solving the problem while suggesting that additional context may be necessary for a complete solution.
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Homework Statement


[/B]
What is the brake torque and the needed force to stop the drum.
Photo of problem: https://gyazo.com/5c814dc6791b29362cc2835dacf7005a
5c814dc6791b29362cc2835dacf7005a.png


Data not on photo: Max pressure is 0.7MPa and friction coefficient is 0.2.

Homework Equations


T=(P1-P2)D/2
p=2P/bD
dP-fdN=0
dN=Pdθ

The Attempt at a Solution


The only thing I've been able to do is use p=2P/bD and rearange it to get F=8.68N
I am unsure of what dθ is supposed to be since the band lifts up on a portion of the drum.
 
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This looks like a textbook problem, and I suspect that the intent is that you use the given geometry, neglecting any lifting of the band.
 
There seems to be some information missing? Any braking force will eventually stop the drum if it's not being driven.
 
CWatters said:
There seems to be some information missing? Any braking force will eventually stop the drum if it's not being driven.

This was all the data I was given in the problem. There might be some eqations I forgot but the data is all there, at least what the teacher put.
 

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