Kinetic energy of a hemisphere

Classical Mechanics Level 2

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.

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Kinetic energy of a hemisphere

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Master concepts by solving fun, challenging problems.

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Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.