- #31
PhysiSmo
Hi Tim!
Everything is clarified! Thank you very very much for your time!
Everything is clarified! Thank you very very much for your time!
Motion of a particle along a curve under gravity
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Homework Help Overview
The problem involves a particle of mass m moving along a curve defined by F(x,y)=0 under the influence of gravity. The objective is to determine the conditions under which the particle remains on the curve without falling off, considering the forces acting on it.
Discussion Character
- Exploratory, Assumption checking, Conceptual clarification
Approaches and Questions Raised
- Participants discuss the role of forces, particularly the reaction force and gravitational force, in keeping the particle on the curve. There are attempts to relate the particle's acceleration to the curve's curvature and the conditions for maintaining contact with the curve.
Discussion Status
The discussion is active, with participants exploring various interpretations of the problem. Some have suggested that the normal acceleration must be sufficient to counteract the gravitational force, while others are questioning how to express the angle of the curve in terms of the variables involved. There is no explicit consensus yet, but productive lines of reasoning are being developed.
Contextual Notes
Participants are navigating the complexities of a real physical curve and the implications of forces acting on the particle. The discussion includes considerations of energy conservation and the relationship between the curve's curvature and the forces at play.