Theoretical doubt with rolling without slipping

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Homework Help Overview

The discussion revolves around a theoretical problem related to rolling without slipping, specifically focusing on the calculation of torque in the context of forces acting on a rolling object.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express confusion regarding the calculation of torque, particularly questioning why the force F is considered to create torque when it has components that may not contribute to it. There is discussion about the effective components of force and their relation to the center of the object.

Discussion Status

The conversation is ongoing, with participants exploring different interpretations of how torque is generated by the force F. Some have offered insights into the relationship between the components of force and their distances from the center, suggesting that both approaches yield the same result.

Contextual Notes

Participants are grappling with the geometric implications of the problem and the definitions of torque in relation to the forces involved. There is an indication of uncertainty regarding the assumptions made about the components of force and their contributions to torque.

Hernaner28
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Hi. I'm taking a look at this problem:

attachment.php?attachmentid=48748&stc=1&d=1340990540.gif


And my doubt is with step 2 when he calculates the torque. He just says it is Fd. But...why? F only has a component which effectivly does torque.

Thanks
 

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Hi Hernaner28!

Hernaner28 said:
And my doubt is with step 2 when he calculates the torque. He just says it is Fd. But...why? F only has a component which effectivly does torque.

Thanks

F as a whole is the component which creates effective torque. Fn doesn't create torque as its line of action passes through the ball's center, and the same with mg. But F has a line of action that is at a distance 'd' away from the center and perpendicular to it. So... :wink:
 
I don't understand. F has a tangential component and that's the one which creates torque, the other component of F doesn't create torque because it passes through the center. Maybe it's a geometric problem I cannot solve...

Thanks!
 
Hernaner28 said:
I don't understand. F has a tangential component and that's the one which creates torque, the other component of F doesn't create torque because it passes through the center. Maybe it's a geometric problem I cannot solve...

Thanks!

Yes. But both the torques, that is the torque taken with the tangential component, or just taken the way it is, give you the same result! That's because for the tangential component, the perpendicular distance from the center is R, but in the case of the force given, it is d. Think about it...
 
Ahhmmm I see... I didn't know you could take that easy way.. Thanks!
 

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