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    Question

    A mass m moves in a vertical circle of radius R under

    gravity. What is the minimum mechanical energy required to complete the circle?
    A 2mgR Correct Answer Incorrect Answer
    B 2.5mgR Correct Answer Incorrect Answer
    C 3mgR Correct Answer Incorrect Answer
    D mgR Correct Answer Incorrect Answer

    Solution

    To complete a vertical circular motion , the mass must reach the top of the circle with non-zero speed , so that the tension at the top is ≥ 0 . The minimum speed at the top is found by setting tension = 0 and using:

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