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  4. A particle is kept at highest position of a fixed smooth sphere of radius R. If it is given horizontal speed ' u ', then find the minimum value of u such that particle leaves contact with spherical surface at highest point :

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Q. A particle is kept at highest position of a fixed smooth sphere of radius $R$. If it is given horizontal speed ' $u$ ', then find the minimum value of $u$ such that particle leaves contact with spherical surface at highest point :

Solution:

$mg - N =\frac{ mu ^{2}}{ R }( N =0)$
$u =\sqrt{ gR }$