First slide
Rolling motion

A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB=D. The height h is equal to



As body is at rest initially, i.e., speed=0

At point A, speed=v As track is frictionless, so total mechanical energy will remain constant.


0+mgh=12mv2+0 or   h=v22g

 For completing the vertical circle, v5gR


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