- #1
ZD_zainy
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Angular velocity of a rolling object
- Thread starter ZD_zainy
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Homework Help Overview
The discussion revolves around the angular velocity of a rolling object, specifically a cylinder on a slope. Participants are exploring the dynamics of the cylinder as it rolls down and the implications of its motion at the end of the slope.
Discussion Character
- Exploratory, Assumption checking, Conceptual clarification
Approaches and Questions Raised
- Participants are discussing the behavior of the cylinder at the end of the slope, questioning the implications of its angular velocity and torque. Some are considering extreme cases to better understand the motion, while others are trying to articulate their attempts to analyze the situation through graphs.
Discussion Status
The conversation is ongoing, with participants providing guidance on how to approach the problem and emphasizing the importance of showing attempts. There is a focus on clarifying the dynamics involved as the cylinder reaches the end of the slope, and multiple interpretations of the motion are being explored.
Contextual Notes
Participants are reminded of the forum guidelines that require them to demonstrate their own attempts before receiving assistance. There is also a mention of a diagram that illustrates the cylinder's position on the slope, which may influence the understanding of the problem.
- #2
BvU
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Hello @ZD_zainy , 
!
Please read the PF guidelines: we are not allowed to help if you don't show your own attempt. What does one see in the graphs ?
!Please read the PF guidelines: we are not allowed to help if you don't show your own attempt. What does one see in the graphs ?
- #3
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It can help to consider extreme cases. What if the cylinder were already at the end of the slope when released?
- #4
ZD_zainy
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How can I show my attempt which I made to find a graph?BvU said:Hello @ZD_zainy ,
Please read the PF guidelines: we are not allowed to help if you don't show your own attempt. What does one see in the graphs ?
- #5
ZD_zainy
- 3
- 0
Oh sorry . The question’s diagram itself shows how the cylinder is in the slopeharuspex said:
- #6
BvU
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You write up what leads you to pick 1) and discuss the differences between 1) and 3). Where does it occur ?ZD_zainy said:
Personally, I think the increase in ##\omega## is exaggerated (it looks almost like a jump)
- #7
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For the angular velocity to exhibit a sudden increase at the very end when it flies off the incline, there must be an increased torque acting on it. Remember that a rolling object rotates about the instantaneous point of contact. What happens when it reaches the edge just before contact is lost?
- #8
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You miss my point.ZD_zainy said:
You are puzzled that the correct answer shows a sudden acceleration just as the cylinder reaches the end of the slope. The reason may become clear if you consider the cylinder released from rest when it is already touching the end of the slope.
Draw the diagram for that.