What Happens When a Yo-Yo Rolls Without Slipping?

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Homework Help Overview

The discussion revolves around the mechanics of a yo-yo rolling without slipping, particularly focusing on the effects of forces and torques when friction is considered. Participants explore the implications of the applied tangential force and its relationship to the motion of the yo-yo.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the potential motion of the yo-yo under different frictional conditions, questioning whether it can slide and roll simultaneously. They explore the effects of the tangential force on the center of mass velocity and the direction of friction.

Discussion Status

There is an ongoing exploration of the mechanics involved, with some participants providing clarifications on the direction of forces and torques. Multiple interpretations of the motion are being examined, particularly regarding the relationship between rolling and sliding motions.

Contextual Notes

Participants note the absence of a physical yo-yo for visualization and discuss the implications of friction on the motion dynamics. The conversation includes assumptions about the direction of forces and the conditions for rolling without slipping.

  • #31
haruspex said:
I'm not sure what you mean. Direction of linear acceleration or of angular acceleration? CM velocity or CM linear acceleration?
Hi haruspex. I was referring to the linear acceleration and the linear (center of mass) velocity.
 
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  • #32


PhizKid said:
Hi haruspex. I was referring to the linear acceleration and the linear (center of mass) velocity.
Starting from rest, the initial acceleration must have the same sign as the first nonzero velocity and the first nonzero displacement. You can see this by considering a velocity-time graph. Thereafter, the acceleration may change sign, making it, for a while at least, opposite in sign to the velocity.
 

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