- #1
How to Calculate Beta Angle for Pulley B in a Frictional Belt and Pulley System?
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Homework Help Overview
The discussion revolves around calculating the beta angle for pulley B in a frictional belt and pulley system. Participants are examining the relationships between angles and arcs in the context of the problem presented.
Discussion Character
- Conceptual clarification, Assumption checking
Approaches and Questions Raised
- The original poster questions the provided angle of 120 degrees for pulley B and suggests that there may be missing information in the problem statement. Other participants explore the relationship between arcs and angles, specifically whether the sum of arcs from two circles equals 360 degrees and if the contact angles are equal.
Discussion Status
Participants are actively engaging with the problem, with some providing reasoning based on geometric relationships. There is an exploration of different interpretations regarding the reference points for angles, but no consensus has been reached on the calculations or assumptions involved.
Contextual Notes
There is mention of an attachment that includes a diagram, which may be critical for understanding the problem setup. The discussion also hints at potential assumptions regarding the geometry of the pulleys and their alignment.
- #2
masterflex
- 16
- 0
I was thinking about it and drawing circles and lines. Can you tell me if this is a general rule (please look at attachment where I draw circles): when lines are drawn (simulating a rubber band around 2 pulleys), adding blue arcs from both circles will always equal 360 degrees? The blue arc from one circle, and the yellow arc from the other circle are equal in terms of the contact angle, yes?
Attachments
- #3
Double A
- 30
- 0
They get beta = 120 from the given angle of 60 degrees.
180 - 60 = 120 degrees
The 60 degrees is referancing from the top of the pulley. To change the referance point to the bottom of the second pulley they performed the above calculation.
Also, since their referance point is perpendicular to the belt on both pullies they are parallel to each other so the angle referances can then be translated from the larger pulley to the smaller pulley.
180 - 60 = 120 degrees
The 60 degrees is referancing from the top of the pulley. To change the referance point to the bottom of the second pulley they performed the above calculation.
Also, since their referance point is perpendicular to the belt on both pullies they are parallel to each other so the angle referances can then be translated from the larger pulley to the smaller pulley.
Last edited:
- #4
masterflex
- 16
- 0
cool, thx.
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