Find the maximum radius of circle so that the block can complete the circular motion.

Step-by-step solution

From energy conservation, mgH = 1 2 mv ^2 v ^2=2 gH or v = 2 gH To complete circular loop, minimum speed at bottom point should be v _ min = 5 gR From Eqs. (i) and (ii) 2 gH 5 gR R 2 H R R _ = 2 H R = 2(5) 5 =2 ~cm