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Asked by ermy

A particle (p) moves along the curved surface (s). Show that p will remain in contact with s provided that at all times its speed v≥√rgcosteta.
8 years ago

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Answered by bobpursley
Draw a figure. look at the forces :
centripetal force =mv^2/radius
gravity force along the radius: mg*CosTheta (angles measured from the top).

set them such that gravit>=cent force
v^2/r>=g*cosTheta
solve for v
8 years ago

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