The discussion revolves around the relationship between torque and angular momentum in the context of a cone rolling on its side without slipping on a flat surface. Participants explore the implications of torque direction relative to changes in angular momentum, addressing both theoretical and conceptual aspects of rotational motion.
Participants do not reach a consensus, as there are competing views on the relationship between torque and angular momentum, the forces involved, and the interpretation of the cone's motion. The discussion remains unresolved with various hypotheses and challenges presented.
Participants note the complexity of the interactions involved, including the coupling of different rotational motions and the need for precise definitions of forces and torques. Some express uncertainty about the assumptions underlying their analyses.
Readers interested in the dynamics of rotational motion, torque, and angular momentum, particularly in complex systems involving rolling objects, may find this discussion relevant.
No the normal force on the back wheel doesn't increase. The downwards force exerted by the back wheel decreases to zero as a consequence of the 'upwards' torque exerted on the bicycle frame by the brake pads that are locked on the front wheel.Happiness said:Suppose we analyse a braking bicycle such that a sudden brake is applied to its front wheel, making it stop completely. The bicycle will then flip forward. The back wheel will be lifted up and the bicycle will undergo circular motion about the front wheel before it topples. The back wheel is on the outside of this vertical circle (or semi-circle). So do you mean that the normal force on the back wheel, ##N_b## is greater than that on the front wheel, ##N_f##?
mfb said:there is a counter-torque from the normal force (+gravity), which is stronger at the outside compared to a cone that is at rest.
rcgldr said:So I'm wondering if the vertical reaction forces of the flat surface to any imbalance in the vertical forces from the cone cancel any net "outward" torque exerted on the cone related to the radial forces, and if so, if it's mathematically possible to show this is the case.
I'm wondering if the normal force related counter-torque exactly cancels the radial (centripetal acceleration) related torque.mfb said:I don't understand your post.