A uniform wheelof mass 10.0 kg and radius0.400 m is mounted rigidlyon a massless axle throughits center . Theradius of the axle is 0.200m, and the rotational inertiaof the wheel–axle combinationabout its central axisis 0.600 kg m2.The wheel isinitially at rest at the top of a surface that is inclined at angle u 30.0 with the horizontal; the axle rests on the surface while thewheel extends into a groove in the surface without touching thesurface. Once released, the axle rolls down along the surfacesmoothly and without slipping.When the wheel–axle combinationhas moved down the surface by 2.00 m, what are (a) its rotationalkinetic energy and (b) its translational kinetic energy?
A uniform wheel
of mass 10.0 kg and radius
0.400 m is mounted rigidly
on a massless axle through
its center . 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 u
30.0 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 2.00 m, what are (a) its rotational
kinetic energy and (b) its translational kinetic energy?
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