In a circus, a stuntman rides a motor bike in a vertical circular track of radius \(r\). Find the minimum…

In a circus, a stuntman rides a motor bike in a vertical circular track of radius \(r\). Find the minimum speed, he must maintain at highest point of track.
  1. \(\sqrt{2 g r}\)
  2. \(2 \sqrt{g r}\)
  3. \(\sqrt{g r}\)
  4. \(\sqrt{5 g r}\)

Solution

For motion in vertical circle, to complete the revolution of moving body, the minimum speed of body at lowest point and highest point should be \(\sqrt{5 g r}\) and \(\sqrt{g r}\) respectively, where \(r\) is the radius of circular path. Hence, in circus, for completing vertical circular track, minimum speed of stuntman at highest point of track should be \(\sqrt{g r}\).

Asked in: AP EAMCET 2020 (17 Sep Shift 2)

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