Refer the figure:
Consider the point C where the mass is at a certain instant. The forces are normal reaction N, & weight mg. The radial component of the weight is mgcos A. A is the angle which the body makes with vertical when it leaves contact.resolve the forces.
Centripetal force is :
r= radius & v is the velocity of the body at O.
)
The body leaves contact when R becomes zero
i.e  ...........................................(i)
use conservation of energy.
i.e  = mg (OB\;- ON))
= )
or, )
or,) .........................................(ii)
From equations (i) & (ii),
)
This gives the angle at which the body leaves th surface.. The height can be calculated as
ON = r cos A
=
 ( since radius = r= 5m)
therefore value of y is  .
This message was edited 2 times. Last update was at 19/06/2009 16:01:39
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