Can circular motion occur even if there is not centripetal force?
Please consider the following case:
Take your pen's cap and hold it in your hand.Initially it is at rest.Then start moving it in a circular path.I know that we cannot rotate it in a complete circular path.But let us consider that it is rotating in a circular path.Then where is the centripetal force?Who is the provider of the centripetal force?So I suggest that circular motion can occur even if there is no centripetal force.
Now a question based on these facts:
An electric line of force in the x-y plane given by the equation x2+y2=1 .A particle with unit positive charge,initially at rest at the point (1,0),in the xy plane will move along the line of force.True or False.
It is written in our textbooks that the charged particle moves along the lines of lectric force.So the particle has to move along the circle.In this case thetre is no centripetal force,even then it is moving in a circle.
So my doubt is can a particle have a circular motion without any centripetal force?Please explain it in detail.