A uniform, solid (1.0-mathrm{kg}) cylinder rolls without slipping at a speed of (1.8 mathrm{~m} / mathrm{s}) on

Question:

A uniform, solid \(1.0-\mathrm{kg}\) cylinder rolls without slipping at a speed of \(1.8 \mathrm{~m} / \mathrm{s}\) on a flat surface. (a) What is the total kinetic energy of the cylinder? (b) What percentage of this total is rotational kinetic energy?

THINKING IT THROUGH. The cylinder has both rotational and translational kinetic energies, so Equation 8.13 applies, and its terms are related by the condition of rolling without slipping.

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