A chain of mass m forming a circle of radius R is slipped on a smooth round cone with half-angle 9. Find the tension in the chain if it rotates with a constant angular velocity cd about a vertical axis coinciding with the symmetry axis of the cone.
Text Solution
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Every element of chain moves on a circular path. So, every element of the chain experiences centripetal force. We consider a small element Am on the chain making angle 
at the centre
......(i)
Net force towards centre is
.......(ii)
From eqn.(i) and (ii) we get
But 
is very small.
Here 
makes an angle 
at the centre. The total mass of chain is m.
The mass of chain per unit angle is
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