How Do Key Swings Maintain a Circular Path?

AI Thread Summary
To maintain a circular path, the keys must achieve a minimum speed at the top of the swing, where gravitational force and tension work together to provide the necessary centripetal force. The slowest speed can be calculated using the equation for centripetal acceleration, considering the forces acting on the keys at the top of the circle. At the bottom of the swing, the tension in the string is at its maximum, as it must counteract both the gravitational force and provide the centripetal force required for circular motion. The problem-solving approach involves applying Newton's second law and the principles of circular motion. Understanding these concepts is essential for determining both the minimum speed and the tension in the string.
farhannaeem
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Keys with a combined mass of 0.100 kg are attached to a 0.25m long string and swung in a circle in the vertical plane.
a) What is the slowest speed that the keys can swing and still maintain a circular path?
b) What is the tension in the string at the bottom of the circle?
 
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Show what you have done and where you are stuck.
 
i don't know how to approach it like how to start the problem
 
start by writing out all the equations you know that might help :smile:

(if you don't know any, go back to your book or your lecture notes and find some)
 

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