Particle on a Circle Homework: Solving with Newton's Law

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Homework Help Overview

The discussion revolves around a particle moving on a circular path, applying Newton's laws of motion and concepts of centripetal acceleration. Participants are exploring the forces acting on the particle as it slides on a sphere and how these relate to the particle's motion.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are considering the relationship between gravitational force and centripetal acceleration, questioning how these forces interact. There is also a focus on identifying the forces acting on the particle and their directions, as well as the implications of these forces on the particle's motion.

Discussion Status

Some participants have provided insights into the forces involved and have prompted further exploration of the particle's position and speed at various points along the circular path. There is an ongoing examination of the assumptions regarding the forces acting on the particle and how they relate to its motion.

Contextual Notes

Participants are discussing the need for a variable to denote the particle's position and are considering the angle of arc traveled as a more convenient measure than height. There is a recognition of the complexity of the forces involved, particularly in relation to the particle's contact with the circular path.

faen
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Homework Statement


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Homework Equations



I suppose Newtons third and second law.

centripetal acceleration = v^2 /R

The Attempt at a Solution



I'm thinking that the force due to weight, should be exceeded by the centripetal acceleration?

I couldn't get the calculations to add up though. Anyone know how to solve it or if I'm on the right track at all? Thanks for any help! :)
 
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What forces act on the particle when sliding on the big sphere, and in what directions?

ehild
 
The weight acts perpendicular to the circle, and movement acts parallel to the circle.
 
I think you are on the right track. "I'm thinking that the force due to weight, should be exceeded by the centripetal acceleration?"
Consider the forces acting normal to the surface of the sphere where the particle leaves the sphere.
 
faen said:
The weight acts perpendicular to the circle, and movement acts parallel to the circle.
No, weight is due to gravity, so always acts vertically, and movement is not a force.
There is a force perpendicular to the arc of the circle. What is it usually called and where does it come from?
You need a variable to denote the particle's position at an arbitrary point. You could use the height it has descended so far, but the angle of arc it has traveled will be more convenient. What will be its speed when at angle theta? What will be its acceleration if it is remaining in contact with the circle?
 

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