A spherical shell of radius 2.84 cm and a sphere of radius 6.97 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the spherical shell's angular speed @shi to the sphere's angular speed @sph be? @shl Osph

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

A spherical shell of radius 2.84 cm and a sphere of radius 6.97 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the spherical shell's angular speed \( \omega_{\text{shl}} \) to the sphere's angular speed \( \omega_{\text{sph}} \) be?

\[
\frac{\omega_{\text{shl}}}{\omega_{\text{sph}}} = \underline{\hspace{3cm}}
\]
Transcribed Image Text:**Problem Statement:** A spherical shell of radius 2.84 cm and a sphere of radius 6.97 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the spherical shell's angular speed \( \omega_{\text{shl}} \) to the sphere's angular speed \( \omega_{\text{sph}} \) be? \[ \frac{\omega_{\text{shl}}}{\omega_{\text{sph}}} = \underline{\hspace{3cm}} \]
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