A mass m is attached to a string of length L and is swung in a vertical circle. At the highest point of the circle, what is the minimum speed required to keep the mass in circular motion?
Practice Questions
1 question
Q1
A mass m is attached to a string of length L and is swung in a vertical circle. At the highest point of the circle, what is the minimum speed required to keep the mass in circular motion?
√(gL)
√(2gL)
gL
2gL
At the highest point, the centripetal force must equal the weight: mv²/L = mg, thus v = √(gL).
Questions & Step-by-step Solutions
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Q
Q: A mass m is attached to a string of length L and is swung in a vertical circle. At the highest point of the circle, what is the minimum speed required to keep the mass in circular motion?
Solution: At the highest point, the centripetal force must equal the weight: mv²/L = mg, thus v = √(gL).
