Sriking the support

A block of mass 0.1 kg is tied to one end of a light string of length 0.1m whose other end is fixed to a rigid support as shown in the figure. The block is given a speed v from the lower most position such that \(\sqrt { 2 } <v<\sqrt { 5 }\) . When the block just leaves the circle the string is cut and the block moves as a projectile in a parabolic path and strikes the rigid support to which the string was attached. Find \(\alpha \) if v=\(\sqrt { \tan { \alpha } }\) where \(\alpha\) is an acute angle in degrees.

This problem is originally part of set Mechanics problems by Abhishek Sharma.

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