A small block of mass m is projected horizontally from the top of the smooth and fixed hemisphere of radius 
with speed u as shown. For values of 
it does not slide on the hemisphere. [i.e. leaves the surface at the top itself]
(i) For 
, it lands at point P on ground. Find OP
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CHECK THE SOLUTION.
(i) 
Now, along vertical
Along horizontal 
(ii) As at B it leaves the hemisphere,
By energy conservation between A and B
Put 
and 
(iii) As 
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