Circular motion and water whirl

AI Thread Summary
A pail of water can be whirled in vertical non-uniform circular motion without spilling due to the balance of forces acting on the water. At the top of the motion, the gravitational force acts downward while the normal reaction force from the pail acts upward, creating a net force that prevents spillage. The centripetal force required for circular motion must also be considered, as it influences the water's acceleration. The acceleration of the water at the top is not zero, indicating that the forces must be carefully balanced to maintain the water inside the pail. Understanding these dynamics is crucial for explaining the phenomenon of water not spilling during such motion.
JDBB
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i can picture it in my head, though i can't explain it with physical concepts:

-A pail of water can be whirled in vertical non-uniform circular motion such that at the top, none is spilled. How so?

any help is appreciated
 
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JDBB said:
i can picture it in my head, though i can't explain it with physical concepts:

-A pail of water can be whirled in vertical non-uniform circular motion such that at the top, none is spilled. How so?

any help is appreciated
What is the condition for water to spill (think of it in terms of forces)? What are the forces acting on the water? If the pail is being whirled around in a circle so no water moves downward when it is upside down, what does that say about the magnitude of the net downward force acting on the water?

AM
 
Try to consider the centripetal force, the weight of the pail, and the normal reaction of the pail to water.
 
At the top of the trajectory both the weight components are completely downwards which is why I am having some trouble explaining this...
 
However, there is a normal reaction force acting upwards. Can you write an equation for the normal reaction force at any point in the rotation? (HINT: You will need to use tig).
 
JDBB said:
At the top of the trajectory both the weight components are completely downwards which is why I am having some trouble explaining this...
What is the acceleration of the water at the top? Hint: it is not zero.

AM
 
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