Centripetal force ( Swinging a bucket in a vertical motion )

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SUMMARY

The discussion centers on the dynamics of a bucket filled with water being swung in a vertical circle, specifically addressing the forces at play when the bucket is at the top of the circle. It establishes that at this position, the gravitational force acts downward while the centripetal force required to maintain circular motion must be provided by the weight of the water. If the angular velocity increases, the centripetal force requirement also increases, leading to a scenario where the water does not spill if the centripetal force exceeds the gravitational force. The concept of perceived gravity is introduced as a way to understand the forces acting on the water, suggesting that at the top, the water experiences a form of weightlessness when the forces are balanced.

PREREQUISITES
  • Understanding of Newton's Laws of Motion, particularly Newton's Third Law
  • Basic knowledge of centripetal force and its calculation (mv²/r)
  • Familiarity with angular velocity and its effects on circular motion
  • Concept of perceived gravity in physics
NEXT STEPS
  • Study the principles of centripetal acceleration and its applications in circular motion
  • Explore the implications of angular velocity on forces in rotating systems
  • Investigate the concept of weightlessness and its relation to perceived gravity
  • Learn about practical applications of circular motion in engineering and physics
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the mechanics of circular motion and the forces involved in dynamic systems.

Victorian91
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First of all,
the situation is as follows :
A girl is swinging a bucket filled with water, and she is whirling it around in a vertical motion.
When the bucket is at any other position on the circumference of the circle, everything seems fine and intuitive.

But an interesting thing happens when the bucket is at the top of the circle.
Newton's Third Law implies an equal an opposite reaction due a push or pull.
At the top, force due to gravity is pointing downwards.
But what then causes the Reaction force?
Since nothing is pushing it, where is the cause of it?

It makes me wonder, if we then increased the angular velocity of the bucket,
I understand that we need an extra force towards the center of the circle in order to compensate for the extra centripetal force. So the reaction on the water due to the bucket becomes larger.

What if i tried to explain this using perceived gravity.
So at the top of the circle, the water perceived gravity as pointing upwards, hence the water will ' BELIEVE ' that the gravity is pointing downwards relative to it and hence will not fall. If that is the case, then it only makes perfect sense to me that the reaction force, now is due to the perceived gravity.
But is perceived gravity a force, or just what we actually perceive?

So, to sum everything up, I am confuse about this problem, Can somebody explain what causes the reaction force on the water due to the bucket?
Many thanks in advance...
 
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mg = mv^2(at the highest point of the vertical circle)/r
here,
mg = weight of water in the bucket
when mg > mv^2/r, then a part of water shall provide the necessary centripetal force; n the rest of the weight of water [mg-mv^2/r] causes some water to accelerate downwards and spill...this is the case when the bucket is whirled slowly
when the whirling velo is greater then,
mv^2/r>mg, so all the weight of water prvides centripetal force n the water in the bucket does not spill.


hope m able to make it clear to u!
 
No object wants to move in a circle. It goes in a straight line or is stationary unless some force is acting on it.
So in order to move in a circle you must push constantly in direction of the center of the circle to keep it in that motion otherwise the object will continue in a straight line.
So it the bucket, the water is trying to go in a straight line all the time with the speed you are giving to it, but there is the bottom of the bucket preventing that by applying force to the water.
So in weightlessness no matter the angular velocity it will stay in the bucket.
On earth, on the top of the motion, it must create bigger force than the gravity (or equal but then the water will "feel" weightless) or otherwise it will spill.
 

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