A small disc is on the top of a hemisphere of radius $R$. What is the smallest horizontal velocity v that should be given to the disc for it to leave the hemisphere and not slide down it ? [There is no friction]
A small disc is on the top of a hemisphere of radius $R$. What is the smallest horizontal velocity v that should be given to the disc for it to leave the hemisphere and not slide down it ? [There is no friction]
$v = \sqrt {2gR} $
$v = \sqrt {gR} $
$v = \frac{g}{R}$
$v = \sqrt {{g^2}R} $
A small disc is on the top of a hemisphere of radius $R$. What is the smallest horizontal velocity v that should be given to the disc for it to leave the hemisphere and not slide down it ? [There is no friction]
$m g-N=\frac{m v^{2}}{R}$
$N=0 \Rightarrow v=\sqrt{g R}$