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A mass attached to one end of a string crosses top-most point on a vertical circle with critical speed. Its centripetal acceleration when string becomes horizontal will be ______. -

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Question

A mass attached to one end of a string crosses top-most point on a vertical circle with critical speed. Its centripetal acceleration when string becomes horizontal will be ______. (g = gravitational acceleration)

Options

  • g

  • 3g

  • 4g

  • 6g

MCQ
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Solution

A mass attached to one end of a string crosses top-most point on a vertical circle with critical speed. Its centripetal acceleration when string becomes horizontal will be 3g. (g = gravitational acceleration)

Explanation:

Speed at top most point, v = `sqrt(3"rg")`

Centripetal acceleration, ac = `"v"^2/"r"=(3"rg")/"r"=3"g"` 

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