why in circular vertical motion the tension at the top is zero.
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The velocity must increase as the mass moves downward from the top of the circle, subject to the constraints stated. This is the condition for "weightlessness" in any curved motion in a vertical plane. ... the tension at the top of the circle is Ttop = Newtons.
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In a circular motion, the centripetal force is provided by the tension in the string. When it is rotating vertically, velocity is maximum in the bottom and it is zero when at the top and experience weightlessness. So the centripetal force will be zero and hence the tension at the top will also be zero.
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