A block of mass m placed at the top of a fixed hemisphere of radius R is given a tangential velocity 4 gR . The angle made by the position vector of the mass when it looses contact with the hemisp

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A block of mass m placed at the top of a fixed hemisphere of radius R is given a tangential velocity 4 gR ​ ​ . The angle made by the position vector of the mass when it looses contact with the hemisphere with the vertical is :

TestHub · Accepted Answer

\begin{align} & mg\cos	heta=\frac{mv^{2}}{R}\,\,...\,\,(i)\ & Apply\quad WET\ & \frac{1}{2}m\left(v^2-\frac{gR}{4}ight)=mgR(1-\cos	heta)\,\,...(ii)\ & \ & \ & \end{align}

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