What Happens When a Yo-Yo Rolls Without Slipping?

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The discussion centers on the mechanics of a yo-yo rolling without slipping when a force is applied to the rope around its axle. Participants clarify that, without friction, the yo-yo would slide to the right, but with friction, it can roll backwards while still moving forward. The center of mass (CM) velocity direction is debated, with consensus that if the yo-yo rolls backwards, the CM velocity can still be directed forward if the applied force is sufficient. Friction plays a crucial role in determining the direction of motion and rotation, with the torque from friction needing to be greater than that from the applied force for the yo-yo to roll correctly. Overall, understanding the interplay of forces and torques is essential for visualizing the yo-yo's motion.
  • #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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