- #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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The discussion focuses on determining the conditions under which a particle moves along a curve defined by F(x,y)=0 without falling off due to gravity. Key points include the necessity of balancing the normal acceleration with the gravitational force acting on the particle, particularly when considering the curve's curvature. The normal acceleration must exceed the component of gravity acting perpendicular to the curve to maintain contact. The relationship between the normal acceleration and the curve's curvature is emphasized, with references to Newton's laws and energy conservation. Ultimately, the conversation leads to a mathematical formulation that connects these physical concepts, highlighting the importance of understanding the curve's geometry.