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AP Physics C: Mechanics
6.5 Rolling
6.1 Rotational Kinetic Energy
IntermediateMCQMathematical25.4k
A schematic shows a composite circular wheel resting on a flat horizontal line representing a surface. The wheel comprises a central solid disk shaded light gray and an outer concentric circular boundary shaded dark gray representing a thin rim. A solid dot marks the wheel's center of mass. A single dashed line segment extends radially from the center dot to the outer edge of the wheel, labeled \(R\). A single horizontal arrow originates at the center dot and points to the right, labeled \(v\). The inner light-gray region is labeled with text \(M\), and the outer dark-gray boundary is labeled with text \(M\). A curved arrow indicates clockwise rotation above the wheel. No other labels, lines, text, or axes appear.
A composite wheel composed of a solid disk and an outer rim rolling horizontally without slipping.
A composite wheel consists of a uniform solid disk of mass \(M\) and radius \(R\) fixed concentrically inside a thin circular rim, also of mass \(M\) and radius \(R\). The wheel rolls without slipping along a horizontal surface such that its center of mass moves with a constant speed \(v\). Which of the following correctly pairs the ratio of the wheel's rotational kinetic energy to its total kinetic energy, \(\dfrac{K_{\text{rot}}}{K_{\text{total}}}\), with the component that contributes more to the wheel's total kinetic energy?

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