A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigidly on an axle through its center (see the figure). The radius of the axle is 0.200 m, and the rotational inertia of the wheel-axle combination about its central axis is 0.600 kg-m². The wheel is initially at rest at the top of a surface that is inclined at angle 0 = 24.4° with the horizontal; the axle rests on the surface while the wheel extends into a groove in the surface without touching the surface. Once released, the axle rolls down along the surface smoothly and without slipping. When the wheel-axle combination has moved down the surface by 6.08 m, what are (a) its rotational kinetic energy and (b) its translational kinetic energy? Wheel- Axle -Groove (a) Number i Units (b) Number Units

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A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigidly on an axle through its center (see the figure). The radius of the
axle is 0.200 m, and the rotational inertia of the wheel-axle combination about its central axis is 0.600 kg-m2. The wheel is initially at
rest at the top of a surface that is inclined at angle 0 = 24.4° with the horizontal; the axle rests on the surface while the wheel extends
into a groove in the surface without touching the surface. Once released, the axle rolls down along the surface smoothly and without
slipping. When the wheel-axle combination has moved down the surface by 6.08 m, what are (a) its rotational kinetic energy and (b) its
translational kinetic energy?
Wheel-
Axle
-Groove
(a) Number
i
Units
(b) Number
i
Units
Transcribed Image Text:A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigidly on an axle through its center (see the figure). The radius of the axle is 0.200 m, and the rotational inertia of the wheel-axle combination about its central axis is 0.600 kg-m2. The wheel is initially at rest at the top of a surface that is inclined at angle 0 = 24.4° with the horizontal; the axle rests on the surface while the wheel extends into a groove in the surface without touching the surface. Once released, the axle rolls down along the surface smoothly and without slipping. When the wheel-axle combination has moved down the surface by 6.08 m, what are (a) its rotational kinetic energy and (b) its translational kinetic energy? Wheel- Axle -Groove (a) Number i Units (b) Number i Units
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