What is the direction of the Reaction force

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SUMMARY

The discussion clarifies the behavior of the reaction force acting on a ball in a vertical circular track. At the bottom of the track, the reaction force acts upward, opposing the weight of the ball (mg), while at the top, it acts downward, in the same direction as the weight. This is due to the requirement for centripetal force during circular motion, where the net force must always point towards the center of the circle. Thus, the reaction force does not consistently oppose the weight; its direction depends on the position of the ball along the track.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with centripetal force concepts
  • Knowledge of circular motion dynamics
  • Basic principles of forces and their directions
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  • Study the principles of circular motion and centripetal acceleration
  • Learn about the applications of Newton's second law in circular motion
  • Explore the concept of net force and its implications in different scenarios
  • Investigate the role of normal force in various motion contexts
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Physics students, educators, and anyone interested in understanding the dynamics of forces in circular motion, particularly in relation to vertical tracks.

Victorian91
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Hey I am confused about the direction of reaction force..

When a ball is on a vertical track at the bottom most of the track,
I understand that the reaction is opposite the weight of the ball, mg.

But when it is directly above the vertical track the reaction force is towards the center, same direction as the weight of the ball.

That means that the reaction force is not always opposing the weight?

I think that the reaction force exists so that the object won't sink in the track..
that is why at the bottom of the track, it points upwards..
At above the track, it points downwards, so that the object won't sink in the track..
Any other explanations.

That is what I think..
Thanks
 
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What's the geometry of this "vertical track". I'm not quite getting it. Am i alone? :confused:
 
Victorian91 said:
Hey I am confused about the direction of reaction force..

When a ball is on a vertical track at the bottom most of the track,
I understand that the reaction is opposite the weight of the ball, mg.

But when it is directly above the vertical track the reaction force is towards the center, same direction as the weight of the ball.
Can we assume that you are talking about a ball rolling on the inside of a vertical circular track? If so, then since the ball executes circular motion it must have an acceleration component towards the center of the circle. Which means that at the top of the motion, the net force must be downward (towards the center). That net force is the sum of the reaction force and the weight, both of which act downward.

At the bottom of the motion, the net force must be upward (towards the center). That means that the reaction force must act upward to counteract the downward weight and provide the centripetal force.

That means that the reaction force is not always opposing the weight?
Correct. It's not.
 

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