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A small body slides over the curved surface of a semicircular fixed cylinder of radius 'r', kept horizontally on the ground as shown in the figure. At what height from the ground would the body lose contact with the surface
A Small Body Slides Over The Curved Surface Of A Semicircula...
 
Options:
A .  2r3 
B .  2r5 
C .  r2 
D .  3r4 
Answer: Option A
:
A
Let normal reaction makes an angle θfrom vertical, then v2=2gr(1cosθ) and mv2r=mgcosθ height from ground h=2r3

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