Engineering How Do You Calculate the Angle of Wrap in Belt Friction?

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The discussion focuses on calculating the angle of wrap in belt friction, with a specific belt image provided for reference. The original poster expresses confusion about identifying the wrap angle, questioning if it is represented as alpha (α) in the attached figure. Some participants disagree with the initial assessment that the angle exceeds 180 degrees, suggesting it appears to be less. Clarification on the definition and calculation methods for the angle of wrap is sought, emphasizing its importance in understanding belt friction dynamics. The conversation highlights the need for accurate interpretation of visual data in engineering problems.
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Homework Statement
I am given the belt below. However, I am confused as to how I should get the angle of wrap. Can you guys please help me out?
Relevant Equations
Angles
Attached is the picture of the belt. The angle of wrap seems to be >180 degrees.
 

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I am not familiar with what wrap angle is. Is it ##\alpha## in the figure attached ?
 
sam0916 said:
Homework Statement:: I am given the belt below. However, I am confused as to how I should get the angle of wrap. Can you guys please help me out?
Relevant Equations:: Angles

Attached is the picture of the belt. The angle of wrap seems to be >180 degrees.
It doesn't look >180 degrees to me.
 
Thread 'Why wasn’t gravity included in the potential energy for this problem?'

Thread 'Why wasn’t gravity included in the potential energy for this problem?'

I’m looking at the attached vibration problem. The solution in the manual includes the spring potential energy but does NOT include the gravitational potential energy of the hanging mass. Can someone explain why gravitational potential energy is not included when deriving the equation of motion? I tried asking ChatGPT but kept going in circles and couldn't figure out. Thanks!
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