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 radiu axle is 0.200 m, and the rotational inertia of the wheel-axle combination about its central axis is 0.600 kg-m?. The wheel is init rest at the top of a surface that is inclined at angle 0 = 58.8° with the horizontal; the axle rests on the surface while the wheel e into a groove in the surface without touching the surface. Once released, the axle rolls down along the surface smoothly and w slipping. When the wheel-axle combination has moved down the surface by 5.98 m, what are (a) its rotational kinetic energy an translational kinetic energy? Wheel- Axle- Groove

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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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 = 58.8° 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 5.98 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
Na
étv
DII
20
888
FB
F6
F5
esc
F3
F4
F2
&
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 = 58.8° 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 5.98 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 Na étv DII 20 888 FB F6 F5 esc F3 F4 F2 &
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