Circular motion and vertical circle

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SUMMARY

This discussion clarifies the differences between horizontal and vertical circular motion. A horizontal circle has its plane horizontal with gravity acting parallel to the axis of rotation, while a vertical circle has gravity acting perpendicular to the axis. The tension in the string varies significantly in a vertical circle, being maximum at the bottom (mv²/r + mg) and minimum at the top (mv²/r - mg). The participants also note the impossibility of achieving a perfect horizontal circle due to the nature of gravitational forces.

PREREQUISITES
  • Understanding of Uniform Circular Motion
  • Knowledge of gravitational forces and tension in strings
  • Familiarity with Newton's laws of motion
  • Basic physics concepts related to circular dynamics
NEXT STEPS
  • Study the principles of Uniform Circular Motion in detail
  • Learn about the forces acting on objects in vertical circular motion
  • Explore the mathematical derivation of tension in vertical circles
  • Investigate the limitations of achieving horizontal circular motion in practical scenarios
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Students of physics, educators teaching circular motion concepts, and anyone interested in understanding the dynamics of forces in circular paths.

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Now I am learning Uniform Circular motion, but I don't know what do horizontal circle and vertical circle mean? I think they must be very different in solving problems. Hope you can tell me, thank you.
 
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A horizontal circle generally means that the plane of the circle is horizontal (the axis is vertical). A vertical circle is the opposite.
 
a horizontal circle will have the force of gravity parallel to the axis of rotation, while a vertical circle will have gravity perpendicular.

The tension in the string will vary at different positions along its path of travel in the case of a vertical circle. (Maximum at the bottom, mv^2/r + mg, minimum at the top, mv^2/r - mg).

I think at least. Please correct me if I'm wrong o_O
 
Wouldn't the tension in the string be (F+mg) at the bottom and (F-mg) at the bottom? When your at the bottom you need a greater force to work against gravity to pull the weight up, but when your at the top gravity helps you.When the weight is on the side it's force is equal( Parallel?)
 
clustro said:
a horizontal circle will have the force of gravity parallel to the axis of rotation, while a vertical circle will have gravity perpendicular.
Yes.

The tension in the string will vary at different positions along its path of travel in the case of a vertical circle. (Maximum at the bottom, mv^2/r + mg, minimum at the top, mv^2/r - mg).
In the case of an object on a string being spun at constant speed in a vertical circle, you are correct.
 
Technically it isn't possible to whirl a bob in a perfect horizontal circle - see if you can figure out why.
 
Ashwath said:
Technically it isn't possible to whirl a bob in a perfect horizontal circle - see if you can figure out why.
Why not? (The string won't be horizontal, but the circular path can be.)
 

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