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Motion in a vertical circle

Free notes · JEE Main Physics

Formulas

vtop,min=gr,vbottom,min=5grv_{top,min} = \sqrt{gr},\quad v_{bottom,min} = \sqrt{5gr}

Vertical circle limits

Worked example

In uniform circular motion, the acceleration of the particle is directed:

  1. Speed is constant but velocity direction changes continuously.
  2. The change in velocity points toward the centre → centripetal acceleration a_c = v²/r toward the centre.

Answer: Toward the centre of the circle