# Kinetic energy of a hemisphere

A solid hemisphere of radius $$R=0.5~\mbox{m}$$ and mass $$M=1~\mbox{kg}$$ rotates with angular speed $$\omega=10~\text{rad/s}$$ about an axis passing through its center O and making and angle $$\theta=60^{\circ}$$ with the vertical (see the figure below). Determine the kinetic energy in Joules of the hemisphere.

×